diff --git a/include/xsimd/arch/generic/xsimd_generic_logical.hpp b/include/xsimd/arch/generic/xsimd_generic_logical.hpp
index 1a04c432e..ce5389d3a 100644
--- a/include/xsimd/arch/generic/xsimd_generic_logical.hpp
+++ b/include/xsimd/arch/generic/xsimd_generic_logical.hpp
@@ -77,6 +77,18 @@ namespace xsimd {
     template<class A, class T> batch_bool<T, A> neq(batch<T, A> const& self, batch<T, A> const& other, requires_arch<generic>) {
       return !(other == self);
     }
+
+    // logical_and
+    template <class A, class T>
+    batch<T, A> logical_and(batch<T, A> const& self, batch<T, A> const& other, requires_arch<generic>) {
+      return detail::apply([](T x, T y) { return x && y;}, self, other);
+    }
+
+    // logical_or
+    template <class A, class T>
+    batch<T, A> logical_or(batch<T, A> const& self, batch<T, A> const& other, requires_arch<generic>) {
+      return detail::apply([](T x, T y) { return x || y;}, self, other);
+    }
   }
 }
 
diff --git a/include/xsimd/types/xsimd_batch.hpp b/include/xsimd/types/xsimd_batch.hpp
index e5210ca37..f322805b3 100644
--- a/include/xsimd/types/xsimd_batch.hpp
+++ b/include/xsimd/types/xsimd_batch.hpp
@@ -124,6 +124,14 @@ struct batch : types::simd_register<T, A> {
     return batch(self) <<= other;
   }
 
+  friend batch operator&&(batch const& self, batch const& other) {
+    return batch(self).logical_and(other);
+  }
+
+  friend batch operator||(batch const& self, batch const& other) {
+    return batch(self).logical_or(other);
+  }
+
   // Update operators
   batch& operator+=(batch const& other);
   batch& operator-=(batch const& other);
@@ -147,6 +155,9 @@ struct batch : types::simd_register<T, A> {
   private:
   template<size_t... Is>
   batch(T const* data, detail::index_sequence<Is...>);
+
+  batch logical_and(batch const& other) const;
+  batch logical_or(batch const& other) const;
 };
 
 template <class T, class A>
@@ -431,6 +442,16 @@ batch_bool<T, A> batch<T, A>::operator>(batch<T, A> const& other) const { return
 template<class T, class A>
 batch_bool<T, A> batch<T, A>::operator<(batch<T, A> const& other) const { return kernel::lt<A>(*this, other, A{}); }
 
+template<class T, class A>
+batch<T, A> batch<T, A>::logical_and(batch<T, A> const& other) const {
+  return kernel::logical_and<A>(*this, other, A());
+}
+
+template<class T, class A>
+batch<T, A> batch<T, A>::logical_or(batch<T, A> const& other) const {
+  return kernel::logical_or<A>(*this, other, A());
+}
+
 template<class T, class A>
 batch<T, A>& batch<T, A>::operator+=(batch<T, A> const& other) { return *this = kernel::add<A>(*this, other, A{}); }
 
diff --git a/test/test_batch.cpp b/test/test_batch.cpp
index 3889450a0..91091b89f 100644
--- a/test/test_batch.cpp
+++ b/test/test_batch.cpp
@@ -408,6 +408,42 @@ class batch_test : public testing::Test
         }
     }
 
+    void test_logical() const
+    {
+        // batch && batch
+        {
+            array_type expected;
+            std::transform(lhs.cbegin(), lhs.cend(), rhs.cbegin(), expected.begin(), std::logical_and<value_type>());
+            batch_type res = batch_lhs() && batch_rhs();
+            EXPECT_BATCH_EQ(res, expected) << print_function_name("batch && batch");
+        }
+        // batch && scalar
+        {
+            array_type expected;
+            std::transform(lhs.cbegin(), lhs.cend(), expected.begin(), std::bind(std::logical_and<value_type>(), _1, scalar));
+            batch_type lres = batch_lhs() && scalar;
+            EXPECT_BATCH_EQ(lres, expected) << print_function_name("batch && scalar");
+            batch_type rres = scalar && batch_lhs();
+            EXPECT_BATCH_EQ(rres, expected) << print_function_name("scalar && batch");
+        }
+        // batch || batch
+        {
+            array_type expected;
+            std::transform(lhs.cbegin(), lhs.cend(), rhs.cbegin(), expected.begin(), std::logical_or<value_type>());
+            batch_type res = batch_lhs() || batch_rhs();
+            EXPECT_BATCH_EQ(res, expected) << print_function_name("batch && batch");
+        }
+        // batch || scalar
+        {
+            array_type expected;
+            std::transform(lhs.cbegin(), lhs.cend(), expected.begin(), std::bind(std::logical_or<value_type>(), _1, scalar));
+            batch_type lres = batch_lhs() || scalar;
+            EXPECT_BATCH_EQ(lres, expected) << print_function_name("batch || scalar");
+            batch_type rres = scalar || batch_lhs();
+            EXPECT_BATCH_EQ(rres, expected) << print_function_name("scalar || batch");
+        }
+    }
+
     void test_min_max() const
     {
         // min
@@ -688,6 +724,10 @@ TYPED_TEST(batch_test, comparison)
 {
     this->test_comparison();
 }
+TYPED_TEST(batch_test, logical)
+{
+    this->test_logical();
+}
 
 TYPED_TEST(batch_test, min_max)
 {