diff --git a/src/Assert.php b/src/Assert.php
index 7f0500a..eb00a49 100644
--- a/src/Assert.php
+++ b/src/Assert.php
@@ -91,6 +91,48 @@ public static function notEquals(mixed $expected, mixed $actual, string $message
             ));
     }
 
+    /**
+     * Asserts that actual value is greater than the defined minimum.
+     *
+     * @param mixed $minimum The defined minimum value.
+     * @param mixed $actual The actual value to compare against the minimum value.
+     * @param string $message Short description about what exactly is being asserted.
+     * @throws AssertException when the assertion fails.
+     */
+    public static function greaterThan(mixed $minimum, mixed $actual, string $message = ''): void
+    {
+        $actual > $minimum
+            ? StaticState::log('Assert `' . Support::stringify($actual) . '` is greater than: `' . Support::stringify($minimum) . '`', $message)
+            : StaticState::fail(AssertException::compare(
+                $minimum,
+                $actual,
+                $message,
+                pattern: 'Failed asserting that `%2s` is greater than `%1s`',
+                showDiff: false,
+            ));
+    }
+
+    /**
+     * Asserts that actual value is greater than or equal to the defined minimum.
+     *
+     * @param mixed $minimum The defined minimum value.
+     * @param mixed $actual The actual value to compare against the minimum value.
+     * @param string $message Short description about what exactly is being asserted.
+     * @throws AssertException when the assertion fails.
+     */
+    public static function greaterThanOrEqual(mixed $minimum, mixed $actual, string $message = ''): void
+    {
+        $actual >= $minimum
+            ? StaticState::log('Assert `' . Support::stringify($actual) . '` is greater than or equal to: `' . Support::stringify($minimum) . '`', $message)
+            : StaticState::fail(AssertException::compare(
+                $minimum,
+                $actual,
+                $message,
+                pattern: 'Failed asserting that `%2s` is greater than or equal to `%1s`',
+                showDiff: false,
+            ));
+    }
+
     /**
      * Asserts that the condition is true.
      *
diff --git a/tests/Testo/AsserTest.php b/tests/Testo/AsserTest.php
index 0f5bd09..850d7c4 100644
--- a/tests/Testo/AsserTest.php
+++ b/tests/Testo/AsserTest.php
@@ -27,6 +27,8 @@ public function simpleAssertions(): void
         Assert::instanceOf(\Exception::class, new \RuntimeException());
         Assert::equals(1, '1');
         Assert::notEquals(42, 43);
+        Assert::greaterThan(1, 2);
+        Assert::greaterThanOrEqual(1, 2);
     }
 
     #[Test]
diff --git a/tests/Testo/Assert/AssertGreaterThan.php b/tests/Testo/Assert/AssertGreaterThan.php
new file mode 100644
index 0000000..d6a5dc4
--- /dev/null
+++ b/tests/Testo/Assert/AssertGreaterThan.php
@@ -0,0 +1,49 @@
+<?php
+
+declare(strict_types=1);
+
+namespace Tests\Testo\Assert;
+
+use Testo\Assert;
+use Testo\Attribute\Test;
+
+/**
+ * Assertion examples.
+ */
+final class AssertGreaterThan
+{
+    #[Test]
+    public function numbers(): void
+    {
+        Assert::greaterThan(1, 2);
+        Assert::greaterThan(1, 1.1);
+        Assert::greaterThan('1', 2); //'1' coerces to 1
+    }
+
+    #[Test]
+    public function strings(): void
+    {
+        Assert::greaterThan("42", "43"); //numeric strings are cast to numbers
+        Assert::greaterThan("aaa", "aaaa"); // longer string is bigger
+        Assert::greaterThan("beers", "beerz"); // byte-wise comparison (first different letters are compared as byte values)
+    }
+
+    #[Test]
+    public function arrays(): void
+    {
+        Assert::greaterThan([1, 2], [1, 2, 3]); // prefix rule: longer wins
+        Assert::greaterThan([1, 3], [1, 4]); // first differing element decides: 4 > 3
+        Assert::greaterThan(['a' => 1, 'b' => 2], ['a' => 1, 'b' => 2, 'c' => 0]); // associative, same key order: longer wins
+
+        // comparison of associative arrays with different keys won't work and throws AssertException:
+        // Assert::greaterThan(['a' => 1, 'x' => 1], ['a' => 1, 'b' => 999]);
+    }
+
+    #[Test]
+    public function datetimes(): void
+    {
+        $min  = new \DateTimeImmutable('2025-01-01 00:00:00+00:00');
+        $actual = new \DateTimeImmutable('2025-01-02 00:00:00+00:00');
+        Assert::greaterThan($min, $actual); // later time is bigger
+    }
+}
diff --git a/tests/Testo/Assert/AssertGreaterThanOrEqual.php b/tests/Testo/Assert/AssertGreaterThanOrEqual.php
new file mode 100644
index 0000000..337e445
--- /dev/null
+++ b/tests/Testo/Assert/AssertGreaterThanOrEqual.php
@@ -0,0 +1,56 @@
+<?php
+
+declare(strict_types=1);
+
+namespace Tests\Testo\Assert;
+
+use Testo\Assert;
+use Testo\Attribute\Test;
+
+/**
+ * Assertion examples.
+ */
+final class AssertGreaterThanOrEqual
+{
+    #[Test]
+    public function numbers(): void
+    {
+        Assert::greaterThanOrEqual(1, 2);
+        Assert::greaterThanOrEqual(1, 1.1);
+        Assert::greaterThanOrEqual('1', 2); //'1' coerces to 1
+        Assert::greaterThanOrEqual('1', 1);
+    }
+
+    #[Test]
+    public function strings(): void
+    {
+        Assert::greaterThanOrEqual("42", "42"); //numeric strings are cast to numbers
+        Assert::greaterThanOrEqual("42", "43");
+        Assert::greaterThanOrEqual("aaa", "aaaa"); // longer string is bigger
+        Assert::greaterThanOrEqual("aaa", "aaa");
+        Assert::greaterThanOrEqual("beers", "beerz"); // byte-wise comparison (first different letters are compared as byte values)
+    }
+
+    #[Test]
+    public function arrays(): void
+    {
+        Assert::greaterThanOrEqual([1, 2], [1, 2]); // same arrays considered equal
+        Assert::greaterThanOrEqual([1, 2], [1, 2, 3]); // prefix rule: longer wins
+        Assert::greaterThanOrEqual([1, 3], [1, 4]); // first differing element decides: 4 > 3
+        Assert::greaterThanOrEqual(['a' => 1, 'b' => 2], ['a' => 1, 'b' => 2, 'c' => 0]); // associative, same key order: longer wins
+        Assert::greaterThanOrEqual(['b' => 2, 'a' => 1], ['a' => 1, 'b' => 2]); // associative arrays, same elements, different order - considered equal
+
+        // comparison of associative arrays with different keys won't work and throws AssertException:
+        // Assert::greaterThanOrEqual(['a' => 1, 'x' => 1], ['a' => 1, 'b' => 999]);
+    }
+
+    #[Test]
+    public function datetimes(): void
+    {
+        $min  = new \DateTimeImmutable('2025-01-01 00:00:00+00:00');
+        $actual1 = new \DateTimeImmutable('2025-01-02 00:00:00+00:00');
+        $actual2 = new \DateTimeImmutable('2025-01-01 00:00:00+00:00');
+        Assert::greaterThanOrEqual($min, $actual1); // later time is bigger
+        Assert::greaterThanOrEqual($min, $actual2); // same time are equal
+    }
+}