diff --git a/server/src/main/java/org/elasticsearch/snapshots/RestoreService.java b/server/src/main/java/org/elasticsearch/snapshots/RestoreService.java
index 2140c32228888..46f10034089c8 100644
--- a/server/src/main/java/org/elasticsearch/snapshots/RestoreService.java
+++ b/server/src/main/java/org/elasticsearch/snapshots/RestoreService.java
@@ -626,7 +626,8 @@ static DataStream updateDataStream(DataStream dataStream, Metadata.Builder metad
             dataStream.getGeneration(),
             dataStream.getMetadata(),
             dataStream.isHidden(),
-            dataStream.isReplicated()
+            dataStream.isReplicated(),
+            dataStream.isSystem()
         );
     }
 
diff --git a/x-pack/plugin/data-streams/src/internalClusterTest/java/org/elasticsearch/datastreams/SystemDataStreamSnapshotIT.java b/x-pack/plugin/data-streams/src/internalClusterTest/java/org/elasticsearch/datastreams/SystemDataStreamSnapshotIT.java
new file mode 100644
index 0000000000000..40b060298e949
--- /dev/null
+++ b/x-pack/plugin/data-streams/src/internalClusterTest/java/org/elasticsearch/datastreams/SystemDataStreamSnapshotIT.java
@@ -0,0 +1,158 @@
+/*
+ * Copyright Elasticsearch B.V. and/or licensed to Elasticsearch B.V. under one
+ * or more contributor license agreements. Licensed under the Elastic License
+ * 2.0; you may not use this file except in compliance with the Elastic License
+ * 2.0.
+ */
+
+package org.elasticsearch.datastreams;
+
+import org.elasticsearch.action.DocWriteRequest;
+import org.elasticsearch.action.admin.cluster.snapshots.create.CreateSnapshotResponse;
+import org.elasticsearch.action.admin.cluster.snapshots.restore.RestoreSnapshotResponse;
+import org.elasticsearch.action.admin.indices.get.GetIndexResponse;
+import org.elasticsearch.action.index.IndexResponse;
+import org.elasticsearch.action.support.master.AcknowledgedResponse;
+import org.elasticsearch.cluster.metadata.ComposableIndexTemplate;
+import org.elasticsearch.common.xcontent.XContentType;
+import org.elasticsearch.indices.ExecutorNames;
+import org.elasticsearch.indices.SystemDataStreamDescriptor;
+import org.elasticsearch.plugins.Plugin;
+import org.elasticsearch.plugins.SystemIndexPlugin;
+import org.elasticsearch.snapshots.AbstractSnapshotIntegTestCase;
+import org.elasticsearch.snapshots.mockstore.MockRepository;
+import org.elasticsearch.threadpool.ThreadPool;
+import org.elasticsearch.xpack.core.action.CreateDataStreamAction;
+import org.elasticsearch.xpack.core.action.DeleteDataStreamAction;
+import org.elasticsearch.xpack.core.action.GetDataStreamAction;
+import org.elasticsearch.xpack.datastreams.DataStreamsPlugin;
+import org.junit.After;
+
+import java.nio.file.Path;
+import java.util.Collection;
+import java.util.Collections;
+import java.util.List;
+import java.util.Map;
+
+import static org.elasticsearch.datastreams.SystemDataStreamSnapshotIT.SystemDataStreamTestPlugin.SYSTEM_DATA_STREAM_NAME;
+import static org.hamcrest.Matchers.arrayWithSize;
+import static org.hamcrest.Matchers.hasSize;
+import static org.hamcrest.Matchers.oneOf;
+
+public class SystemDataStreamSnapshotIT extends AbstractSnapshotIntegTestCase {
+
+    public static final String REPO = "repo";
+    public static final String SNAPSHOT = "snap";
+
+    @Override
+    protected Collection<Class<? extends Plugin>> nodePlugins() {
+        return List.of(MockRepository.Plugin.class, DataStreamsPlugin.class, SystemDataStreamTestPlugin.class);
+    }
+
+    @After
+    public void cleanUp() throws Exception {
+        DeleteDataStreamAction.Request request = new DeleteDataStreamAction.Request(new String[] { SYSTEM_DATA_STREAM_NAME });
+        AcknowledgedResponse response = client().execute(DeleteDataStreamAction.INSTANCE, request).get();
+        assertTrue(response.isAcknowledged());
+    }
+
+    public void testSystemDataStreamSnapshotIT() throws Exception {
+        Path location = randomRepoPath();
+        createRepository(REPO, "fs", location);
+
+        {
+            CreateDataStreamAction.Request request = new CreateDataStreamAction.Request(SYSTEM_DATA_STREAM_NAME);
+            final AcknowledgedResponse response = client().execute(CreateDataStreamAction.INSTANCE, request).get();
+            assertTrue(response.isAcknowledged());
+        }
+
+        // Index a doc so that a concrete backing index will be created
+        IndexResponse indexRepsonse = client().prepareIndex(SYSTEM_DATA_STREAM_NAME)
+            .setId("42")
+            .setSource("{ \"@timestamp\": \"2099-03-08T11:06:07.000Z\", \"name\": \"my-name\" }", XContentType.JSON)
+            .setOpType(DocWriteRequest.OpType.CREATE)
+            .execute()
+            .actionGet();
+        assertThat(indexRepsonse.status().getStatus(), oneOf(200, 201));
+
+        {
+            GetDataStreamAction.Request request = new GetDataStreamAction.Request(new String[] { SYSTEM_DATA_STREAM_NAME });
+            GetDataStreamAction.Response response = client().execute(GetDataStreamAction.INSTANCE, request).get();
+            assertThat(response.getDataStreams(), hasSize(1));
+            assertTrue(response.getDataStreams().get(0).getDataStream().isSystem());
+        }
+
+        CreateSnapshotResponse createSnapshotResponse = client().admin()
+            .cluster()
+            .prepareCreateSnapshot(REPO, SNAPSHOT)
+            .setWaitForCompletion(true)
+            .setIncludeGlobalState(false)
+            .get();
+
+        // We have to delete the data stream directly, as the feature reset API doesn't clean up system data streams yet
+        // See https://github.com/elastic/elasticsearch/issues/75818
+        {
+            DeleteDataStreamAction.Request request = new DeleteDataStreamAction.Request(new String[] { SYSTEM_DATA_STREAM_NAME });
+            AcknowledgedResponse response = client().execute(DeleteDataStreamAction.INSTANCE, request).get();
+            assertTrue(response.isAcknowledged());
+        }
+
+        {
+            GetIndexResponse indicesRemaining = client().admin().indices().prepareGetIndex().addIndices("_all").get();
+            assertThat(indicesRemaining.indices(), arrayWithSize(0));
+        }
+
+        RestoreSnapshotResponse restoreSnapshotResponse = client().admin()
+            .cluster()
+            .prepareRestoreSnapshot(REPO, SNAPSHOT)
+            .setWaitForCompletion(true)
+            .setRestoreGlobalState(false)
+            .get();
+        assertEquals(restoreSnapshotResponse.getRestoreInfo().totalShards(), restoreSnapshotResponse.getRestoreInfo().successfulShards());
+
+        {
+            GetDataStreamAction.Request request = new GetDataStreamAction.Request(new String[] { SYSTEM_DATA_STREAM_NAME });
+            GetDataStreamAction.Response response = client().execute(GetDataStreamAction.INSTANCE, request).get();
+            assertThat(response.getDataStreams(), hasSize(1));
+            assertTrue(response.getDataStreams().get(0).getDataStream().isSystem());
+        }
+    }
+
+    public static class SystemDataStreamTestPlugin extends Plugin implements SystemIndexPlugin {
+
+        static final String SYSTEM_DATA_STREAM_NAME = ".test-data-stream";
+
+        @Override
+        public Collection<SystemDataStreamDescriptor> getSystemDataStreamDescriptors() {
+            return List.of(
+                new SystemDataStreamDescriptor(
+                    SYSTEM_DATA_STREAM_NAME,
+                    "a system data stream for testing",
+                    SystemDataStreamDescriptor.Type.EXTERNAL,
+                    new ComposableIndexTemplate(
+                        List.of(".system-data-stream"),
+                        null,
+                        null,
+                        null,
+                        null,
+                        null,
+                        new ComposableIndexTemplate.DataStreamTemplate()
+                    ),
+                    Map.of(),
+                    Collections.singletonList("test"),
+                    new ExecutorNames(ThreadPool.Names.SYSTEM_CRITICAL_READ, ThreadPool.Names.SYSTEM_READ, ThreadPool.Names.SYSTEM_WRITE)
+                )
+            );
+        }
+
+        @Override
+        public String getFeatureName() {
+            return SystemDataStreamTestPlugin.class.getSimpleName();
+        }
+
+        @Override
+        public String getFeatureDescription() {
+            return "A plugin for testing snapshots of system data streams";
+        }
+    }
+}