diff --git a/core/lib/Drupal/Core/Extension/ModuleInstaller.php b/core/lib/Drupal/Core/Extension/ModuleInstaller.php
index 5246946e09..b95d3365f8 100644
--- a/core/lib/Drupal/Core/Extension/ModuleInstaller.php
+++ b/core/lib/Drupal/Core/Extension/ModuleInstaller.php
@@ -2,6 +2,7 @@
 
 namespace Drupal\Core\Extension;
 
+use Drupal\Component\Version\DrupalSemver;
 use Drupal\Core\Cache\Cache;
 use Drupal\Core\Cache\CacheBackendInterface;
 use Drupal\Core\DrupalKernelInterface;
@@ -81,11 +82,18 @@ public function addUninstallValidator(ModuleUninstallValidatorInterface $uninsta
    */
   public function install(array $module_list, $enable_dependencies = TRUE) {
     $extension_config = \Drupal::configFactory()->getEditable('core.extension');
+    // Get all module data so we can find dependencies and sort and find the
+    // core requirements. The module list needs to be reset so that it can
+    // re-scan and include any new modules that may have been added directly
+    // into the filesystem.
+    $module_data = \Drupal::service('extension.list.module')->reset()->getList();
+    foreach ($module_list as $module) {
+      if (!DrupalSemver::satisfies(\Drupal::VERSION, $module_data[$module]->info['core'])) {
+        throw new MissingDependencyException("Unable to install modules: module '$module' is incompatible with this version of Drupal core.");
+      }
+    }
     if ($enable_dependencies) {
-      // Get all module data so we can find dependencies and sort.
-      // The module list needs to be reset so that it can re-scan and include
-      // any new modules that may have been added directly into the filesystem.
-      $module_data = \Drupal::service('extension.list.module')->reset()->getList();
+
       $module_list = $module_list ? array_combine($module_list, $module_list) : [];
       if ($missing_modules = array_diff_key($module_list, $module_data)) {
         // One or more of the given modules doesn't exist.
@@ -110,6 +118,9 @@ public function install(array $module_list, $enable_dependencies = TRUE) {
 
           // Skip already installed modules.
           if (!isset($module_list[$dependency]) && !isset($installed_modules[$dependency])) {
+            if (!DrupalSemver::satisfies(\Drupal::VERSION, $module_data[$dependency]->info['core'])) {
+              throw new MissingDependencyException("Unable to install modules: module '$module'. Its dependency module '$dependency' is incompatible with this version of Drupal core.");
+            }
             $module_list[$dependency] = $dependency;
           }
         }
diff --git a/core/tests/Drupal/KernelTests/Core/Extension/ModuleInstallerTest.php b/core/tests/Drupal/KernelTests/Core/Extension/ModuleInstallerTest.php
index ff87c32760..490301a0ae 100644
--- a/core/tests/Drupal/KernelTests/Core/Extension/ModuleInstallerTest.php
+++ b/core/tests/Drupal/KernelTests/Core/Extension/ModuleInstallerTest.php
@@ -3,6 +3,7 @@
 namespace Drupal\KernelTests\Core\Extension;
 
 use Drupal\Core\Database\Database;
+use Drupal\Core\Extension\MissingDependencyException;
 use Drupal\KernelTests\KernelTestBase;
 use Symfony\Component\Routing\Exception\RouteNotFoundException;
 
@@ -85,4 +86,43 @@ public function testKernelRebuildDuringHookInstall() {
     $this->assertTrue($module_installer->install(['module_test']));
   }
 
+  /**
+   * Tests install with a module with an invalid core version.
+   *
+   * @dataProvider providerTestInvalidCoreInstall
+   * @covers ::install
+   */
+  public function testInvalidCoreInstall($install_dependencies) {
+    $this->expectException(MissingDependencyException::class);
+    $this->expectExceptionMessage("Unable to install modules: module 'system_incompatible_core_version_test_99x' is incompatible with this version of Drupal core.");
+    $this->container->get('module_installer')->install(['system_incompatible_core_version_test_99x'], $install_dependencies);
+  }
+
+  /**
+   * Tests install with a dependency with invalid core.
+   *
+   * @covers ::install
+   */
+  public function testDependencyInvalidCoreInstall() {
+    $this->expectException(MissingDependencyException::class);
+    $this->expectExceptionMessage("Unable to install modules: module 'system_incompatible_core_version_dependencies_test'. Its dependency module 'system_incompatible_core_version_test' is incompatible with this version of Drupal core.");
+    $this->container->get('module_installer')->install(['system_incompatible_core_version_dependencies_test']);
+  }
+
+  /**
+   * Tests no dependencies install with a dependency with invalid core.
+   *
+   * @covers ::install
+   */
+  public function testDependencyInvalidCoreInstallNoDependencies() {
+    $this->assertTrue($this->container->get('module_installer')->install(['system_incompatible_core_version_dependencies_test'], FALSE));
+  }
+
+  public function providerTestInvalidCoreInstall() {
+    return [
+      'no dependencies' => [FALSE],
+      'install_dependencies' => [TRUE],
+    ];
+  }
+
 }