diff --git a/src/libraries/System.Memory/ref/System.Memory.cs b/src/libraries/System.Memory/ref/System.Memory.cs
index 7d53b7a8da7630..9642b313123609 100644
--- a/src/libraries/System.Memory/ref/System.Memory.cs
+++ b/src/libraries/System.Memory/ref/System.Memory.cs
@@ -230,6 +230,10 @@ public static partial class MemoryExtensions
         public static int BinarySearch<T, TComparer>(this System.Span<T> span, T value, TComparer comparer) where TComparer : System.Collections.Generic.IComparer<T>, allows ref struct { throw null; }
         [System.Runtime.CompilerServices.OverloadResolutionPriorityAttribute(-1)]
         public static int BinarySearch<T, TComparable>(this System.Span<T> span, TComparable comparable) where TComparable : System.IComparable<T>, allows ref struct { throw null; }
+        public static T? Max<T>(this System.ReadOnlySpan<T> span) { throw null; }
+        public static T? Max<T>(this System.ReadOnlySpan<T> span, System.Collections.Generic.IComparer<T> comparer) { throw null; }
+        public static T? Min<T>(this System.ReadOnlySpan<T> span) { throw null; }
+        public static T? Min<T>(this System.ReadOnlySpan<T> span, System.Collections.Generic.IComparer<T> comparer) { throw null; }
         [System.Runtime.CompilerServices.OverloadResolutionPriorityAttribute(-1)]
         public static int CommonPrefixLength<T>(this System.Span<T> span, System.ReadOnlySpan<T> other) { throw null; }
         [System.Runtime.CompilerServices.OverloadResolutionPriorityAttribute(-1)]
diff --git a/src/libraries/System.Memory/tests/ReadOnlySpan/MinMax.cs b/src/libraries/System.Memory/tests/ReadOnlySpan/MinMax.cs
new file mode 100644
index 00000000000000..107e0736cb6e88
--- /dev/null
+++ b/src/libraries/System.Memory/tests/ReadOnlySpan/MinMax.cs
@@ -0,0 +1,92 @@
+// Licensed to the .NET Foundation under one or more agreements.
+// The .NET Foundation licenses this file to you under the MIT license.
+
+using System.Collections.Generic;
+using Xunit;
+
+namespace System.SpanTests
+{
+    public static partial class ReadOnlySpanTests
+    {
+        [Fact]
+        public static void MinMax_Empty_NonNullableValueType_Throws()
+        {
+            ReadOnlySpan<int> span = ReadOnlySpan<int>.Empty;
+
+            TestHelpers.AssertThrows<InvalidOperationException, int>(span, (_span) => _span.Min());
+            TestHelpers.AssertThrows<InvalidOperationException, int>(span, (_span) => _span.Max());
+            TestHelpers.AssertThrows<InvalidOperationException, int>(span, (_span) => _span.Min(Comparer<int>.Default));
+            TestHelpers.AssertThrows<InvalidOperationException, int>(span, (_span) => _span.Max(Comparer<int>.Default));
+        }
+
+        [Fact]
+        public static void MinMax_NullComparer_ThrowsArgumentNullException()
+        {
+            ReadOnlySpan<int> span = new int[] { 4, -1, 7, 2 };
+            ReadOnlySpan<int> emptySpan = ReadOnlySpan<int>.Empty;
+            TestHelpers.AssertThrows<ArgumentNullException, int>(span, (_span) => _span.Min(comparer: null!));
+            TestHelpers.AssertThrows<ArgumentNullException, int>(span, (_span) => _span.Max(comparer: null!));
+            TestHelpers.AssertThrows<ArgumentNullException, int>(emptySpan, (_span) => _span.Min(comparer: null!));
+            TestHelpers.AssertThrows<ArgumentNullException, int>(emptySpan, (_span) => _span.Max(comparer: null!));
+        }
+
+        [Fact]
+        public static void MinMax_Empty_ReferenceAndNullableValueType_ReturnsNull()
+        {
+            ReadOnlySpan<string?> strings = ReadOnlySpan<string?>.Empty;
+            ReadOnlySpan<int?> nullableInts = ReadOnlySpan<int?>.Empty;
+
+            Assert.Null(strings.Min());
+            Assert.Null(strings.Max());
+            Assert.Null(nullableInts.Min());
+            Assert.Null(nullableInts.Max());
+        }
+
+        [Fact]
+        public static void MinMax_AllNull_ReturnsNull()
+        {
+            ReadOnlySpan<string?> strings = new string?[] { null, null, null };
+            ReadOnlySpan<int?> nullableInts = new int?[] { null, null, null };
+
+            Assert.Null(strings.Min());
+            Assert.Null(strings.Max());
+            Assert.Null(nullableInts.Min());
+            Assert.Null(nullableInts.Max());
+        }
+
+        [Fact]
+        public static void MinMax_NullNotFirst_NullIgnoredForComparison()
+        {
+            ReadOnlySpan<string?> strings = new string?[] { "charlie", null, "bravo", null, "delta" };
+            ReadOnlySpan<int?> nullableInts = new int?[] { 4, null, -1, null, 7 };
+
+            Assert.Equal("bravo", strings.Min());
+            Assert.Equal("delta", strings.Max());
+            Assert.Equal(-1, nullableInts.Min());
+            Assert.Equal(7, nullableInts.Max());
+        }
+
+        [Fact]
+        public static void MinMax_DefaultComparer_ProducesExpectedValues()
+        {
+            ReadOnlySpan<int> ints = new int[] { 4, -1, 7, 2 };
+            ReadOnlySpan<string?> strings = new string?[] { null, "charlie", "bravo", null, "delta" };
+
+            Assert.Equal(-1, ints.Min());
+            Assert.Equal(7, ints.Max());
+
+            Assert.Equal("bravo", strings.Min());
+            Assert.Equal("delta", strings.Max());
+        }
+
+        [Fact]
+        public static void MinMax_CustomComparer_IsUsed()
+        {
+            ReadOnlySpan<int> ints = new int[] { 4, -1, 7, 2 };
+            IComparer<int> reverse = Comparer<int>.Create((left, right) => right.CompareTo(left));
+
+            Assert.Equal(7, ints.Min(reverse));
+            Assert.Equal(-1, ints.Max(reverse));
+        }
+    }
+}
diff --git a/src/libraries/System.Memory/tests/System.Memory.Tests.csproj b/src/libraries/System.Memory/tests/System.Memory.Tests.csproj
index 5ef352b8d1f6d9..33e76aacc5e7c7 100644
--- a/src/libraries/System.Memory/tests/System.Memory.Tests.csproj
+++ b/src/libraries/System.Memory/tests/System.Memory.Tests.csproj
@@ -30,6 +30,7 @@
     <Compile Include="ParsersAndFormatters\Formatter\RealFormatterTests.cs" />
     <Compile Include="$(CommonPath)..\tests\System\RealParserTestsBase.cs" Link="ParsersAndFormatters\Parser\RealParserTestsBase.cs" />
     <Compile Include="ParsersAndFormatters\Parser\RealParserTests.cs" />
+    <Compile Include="ReadOnlySpan\MinMax.cs" />
     <Compile Include="ReadOnlySpan\Comparers.cs" />
     <Compile Include="ReadOnlySpan\Contains.byte.cs" />
     <Compile Include="ReadOnlySpan\Contains.T.cs" />
diff --git a/src/libraries/System.Private.CoreLib/src/Resources/Strings.resx b/src/libraries/System.Private.CoreLib/src/Resources/Strings.resx
index ac51112ce4dbd1..38ae696ec23048 100644
--- a/src/libraries/System.Private.CoreLib/src/Resources/Strings.resx
+++ b/src/libraries/System.Private.CoreLib/src/Resources/Strings.resx
@@ -4486,4 +4486,7 @@
   <data name="Arg_HexBinaryStylesNotSupported" xml:space="preserve">
     <value>The number styles AllowHexSpecifier and AllowBinarySpecifier are not supported on the decimal type.</value>
   </data>
+  <data name="InvalidOperation_NoElements" xml:space="preserve">
+    <value>Sequence contains no elements.</value>
+  </data>
 </root>
diff --git a/src/libraries/System.Private.CoreLib/src/System/MemoryExtensions.cs b/src/libraries/System.Private.CoreLib/src/System/MemoryExtensions.cs
index 2ef440179364ef..4d03c7d1a2eead 100644
--- a/src/libraries/System.Private.CoreLib/src/System/MemoryExtensions.cs
+++ b/src/libraries/System.Private.CoreLib/src/System/MemoryExtensions.cs
@@ -4312,6 +4312,142 @@ public static int BinarySearch<T, TComparer>(
             return BinarySearch(span, comparable);
         }
 
+        /// <summary>
+        /// Returns the minimum value in the span.
+        /// </summary>
+        /// <typeparam name="T">The type of the elements in the span.</typeparam>
+        /// <param name="span">The span of values to determine the minimum value of.</param>
+        /// <returns>The minimum value in the span.</returns>
+        /// <exception cref="InvalidOperationException"><paramref name="span"/> is empty and <typeparamref name="T"/> is a non-nullable value type.</exception>
+        /// <remarks>
+        /// <para>If type <typeparamref name="T" /> implements <see cref="System.IComparable{T}" />, the <see cref="Min{T}(ReadOnlySpan{T})" /> method uses that implementation to compare values. Otherwise, if type <typeparamref name="T" /> implements <see cref="System.IComparable" />, that implementation is used to compare values.</para>
+        /// <para>If <typeparamref name="T" /> is a reference type and the span sequence is empty, this method returns <see langword="null" />.</para>
+        /// <para>Null values are ignored when determining the minimum value. If the span contains at least one non-null value, the minimum of those values is returned. If the span does not contain any non-null values, <see langword="null" /> is returned.</para>
+        /// </remarks>
+        [MethodImpl(MethodImplOptions.AggressiveInlining)]
+        public static T? Min<T>(this ReadOnlySpan<T> span) =>
+            Min(span, Comparer<T>.Default);
+
+        /// <summary>
+        /// Returns the minimum value in the span.
+        /// </summary>
+        /// <typeparam name="T">The type of the elements in the span.</typeparam>
+        /// <param name="span">The span of values to determine the minimum value of.</param>
+        /// <param name="comparer">The <see cref="IComparer{T}"/> to compare values.</param>
+        /// <returns>The minimum value in the span.</returns>
+        /// <exception cref="ArgumentNullException"><paramref name="comparer"/> is <see langword="null"/>.</exception>
+        /// <exception cref="InvalidOperationException"><paramref name="span"/> is empty and <typeparamref name="T"/> is a non-nullable value type.</exception>
+        /// <remarks>
+        /// <para>If <typeparamref name="T" /> is a reference type and the span sequence is empty, this method returns <see langword="null" />.</para>
+        /// <para>Null values are ignored when determining the minimum value. If the span contains at least one non-null value, the minimum of those values is returned. If the span does not contain any non-null values, <see langword="null" /> is returned.</para>
+        /// </remarks>
+        public static T? Min<T>(this ReadOnlySpan<T> span, IComparer<T> comparer)
+        {
+            if (comparer is null)
+                ThrowHelper.ThrowArgumentNullException(ExceptionArgument.comparer);
+
+            if (span.IsEmpty)
+            {
+                if (default(T) is null)
+                {
+                    return default;
+                }
+
+                ThrowHelper.ThrowInvalidOperationException(ExceptionResource.InvalidOperation_NoElements);
+            }
+
+            T? value = span[0];
+            int i = 1;
+
+            while (value is null)
+            {
+                if ((uint)i >= (uint)span.Length)
+                {
+                    return value;
+                }
+                value = span[i++];
+            }
+
+            for (; (uint)i < (uint)span.Length; i++)
+            {
+                T next = span[i];
+                if (next is not null && comparer.Compare(next, value) < 0)
+                {
+                    value = next;
+                }
+            }
+
+            return value;
+        }
+
+        /// <summary>
+        /// Returns the maximum value in the span.
+        /// </summary>
+        /// <typeparam name="T">The type of the elements in the span.</typeparam>
+        /// <param name="span">The span of values to determine the maximum value of.</param>
+        /// <returns>The maximum value in the span.</returns>
+        /// <exception cref="InvalidOperationException"><paramref name="span"/> is empty and <typeparamref name="T"/> is a non-nullable value type.</exception>
+        /// <remarks>
+        /// <para>If type <typeparamref name="T" /> implements <see cref="System.IComparable{T}" />, the <see cref="Max{T}(ReadOnlySpan{T})" /> method uses that implementation to compare values. Otherwise, if type <typeparamref name="T" /> implements <see cref="System.IComparable" />, that implementation is used to compare values.</para>
+        /// <para>If <typeparamref name="T" /> is a reference type and the span sequence is empty, this method returns <see langword="null" />.</para>
+        /// <para>Null values are ignored when determining the maximum value. If the span contains at least one non-null value, the maximum of those values is returned. If the span does not contain any non-null values, <see langword="null" /> is returned.</para>
+        /// </remarks>
+        [MethodImpl(MethodImplOptions.AggressiveInlining)]
+        public static T? Max<T>(this ReadOnlySpan<T> span) =>
+            Max(span, Comparer<T>.Default);
+
+        /// <summary>
+        /// Returns the maximum value in the span.
+        /// </summary>
+        /// <typeparam name="T">The type of the elements in the span.</typeparam>
+        /// <param name="span">The span of values to determine the maximum value of.</param>
+        /// <param name="comparer">The <see cref="IComparer{T}"/> to compare values.</param>
+        /// <returns>The maximum value in the span.</returns>
+        /// <exception cref="ArgumentNullException"><paramref name="comparer"/> is <see langword="null"/>.</exception>
+        /// <exception cref="InvalidOperationException"><paramref name="span"/> is empty and <typeparamref name="T"/> is a non-nullable value type.</exception>
+        /// <remarks>
+        /// <para>If <typeparamref name="T" /> is a reference type and the span sequence is empty, this method returns <see langword="null" />.</para>
+        /// <para>Null values are ignored when determining the maximum value. If the span contains at least one non-null value, the maximum of those values is returned. If the span does not contain any non-null values, <see langword="null" /> is returned.</para>
+        /// </remarks>
+        public static T? Max<T>(this ReadOnlySpan<T> span, IComparer<T> comparer)
+        {
+            if (comparer is null)
+                ThrowHelper.ThrowArgumentNullException(ExceptionArgument.comparer);
+
+            if (span.IsEmpty)
+            {
+                if (default(T) is null)
+                {
+                    return default;
+                }
+
+                ThrowHelper.ThrowInvalidOperationException(ExceptionResource.InvalidOperation_NoElements);
+            }
+
+            T? value = span[0];
+            int i = 1;
+
+            while (value is null)
+            {
+                if ((uint)i >= (uint)span.Length)
+                {
+                    return value;
+                }
+                value = span[i++];
+            }
+
+            for (; (uint)i < (uint)span.Length; i++)
+            {
+                T next = span[i];
+                if (next is not null && comparer.Compare(next, value) > 0)
+                {
+                    value = next;
+                }
+            }
+
+            return value;
+        }
+
         /// <summary>
         /// Sorts the elements in the entire <see cref="Span{T}" /> using the <see cref="IComparable{T}" /> implementation
         /// of each element of the <see cref= "Span{T}" />
diff --git a/src/libraries/System.Private.CoreLib/src/System/ThrowHelper.cs b/src/libraries/System.Private.CoreLib/src/System/ThrowHelper.cs
index cf08add006be22..79b1e6e9aba57a 100644
--- a/src/libraries/System.Private.CoreLib/src/System/ThrowHelper.cs
+++ b/src/libraries/System.Private.CoreLib/src/System/ThrowHelper.cs
@@ -1252,6 +1252,8 @@ private static string GetResourceString(ExceptionResource resource)
                     return SR.ConcurrentDictionary_ItemKeyIsNull;
                 case ExceptionResource.ConcurrentDictionary_TypeOfValueIncorrect:
                     return SR.ConcurrentDictionary_TypeOfValueIncorrect;
+                case ExceptionResource.InvalidOperation_NoElements:
+                    return SR.InvalidOperation_NoElements;
                 default:
                     Debug.Fail("The enum value is not defined, please check the ExceptionResource Enum.");
                     return "";
@@ -1453,5 +1455,6 @@ internal enum ExceptionResource
         InvalidOperation_IncompatibleComparer,
         ConcurrentDictionary_ItemKeyIsNull,
         ConcurrentDictionary_TypeOfValueIncorrect,
+        InvalidOperation_NoElements,
     }
 }