diff --git a/common/src/main/java/org/opensearch/ml/common/MLTask.java b/common/src/main/java/org/opensearch/ml/common/MLTask.java
index e8c814e432..229bba5771 100644
--- a/common/src/main/java/org/opensearch/ml/common/MLTask.java
+++ b/common/src/main/java/org/opensearch/ml/common/MLTask.java
@@ -50,7 +50,8 @@ public class MLTask implements ToXContentObject, Writeable {
     @Setter
     private String modelId;
     private final MLTaskType taskType;
-    private final FunctionName functionName;
+    @Setter
+    private FunctionName functionName;
     @Setter
     private MLTaskState state;
     private final MLInputDataType inputType;
diff --git a/ml-algorithms/src/main/java/org/opensearch/ml/engine/ModelHelper.java b/ml-algorithms/src/main/java/org/opensearch/ml/engine/ModelHelper.java
index 75012b56ea..77001b92e7 100644
--- a/ml-algorithms/src/main/java/org/opensearch/ml/engine/ModelHelper.java
+++ b/ml-algorithms/src/main/java/org/opensearch/ml/engine/ModelHelper.java
@@ -94,7 +94,9 @@ public void downloadPrebuiltModelConfig(
                     .url(modelZipFileUrl)
                     .deployModel(deployModel)
                     .modelNodeIds(modelNodeIds)
-                    .modelGroupId(modelGroupId);
+                    .modelGroupId(modelGroupId)
+                    .functionName(FunctionName.from((String) config.get("model_task_type")));
+
                 config.entrySet().forEach(entry -> {
                     switch (entry.getKey().toString()) {
                         case MLRegisterModelInput.MODEL_FORMAT_FIELD:
diff --git a/plugin/src/main/java/org/opensearch/ml/model/MLModelManager.java b/plugin/src/main/java/org/opensearch/ml/model/MLModelManager.java
index 759b0cec9f..1f766ae13a 100644
--- a/plugin/src/main/java/org/opensearch/ml/model/MLModelManager.java
+++ b/plugin/src/main/java/org/opensearch/ml/model/MLModelManager.java
@@ -15,6 +15,7 @@
 import static org.opensearch.ml.common.CommonValue.UNDEPLOYED;
 import static org.opensearch.ml.common.MLModel.ALGORITHM_FIELD;
 import static org.opensearch.ml.common.MLTask.ERROR_FIELD;
+import static org.opensearch.ml.common.MLTask.FUNCTION_NAME_FIELD;
 import static org.opensearch.ml.common.MLTask.MODEL_ID_FIELD;
 import static org.opensearch.ml.common.MLTask.STATE_FIELD;
 import static org.opensearch.ml.common.MLTaskState.COMPLETED;
@@ -756,6 +757,14 @@ private void registerPrebuiltModel(MLRegisterModelInput registerModelInput, MLTa
             throw new IllegalArgumentException("This model is not in the pre-trained model list, please check your parameters.");
         }
         modelHelper.downloadPrebuiltModelConfig(taskId, registerModelInput, ActionListener.wrap(mlRegisterModelInput -> {
+            mlTask.setFunctionName(mlRegisterModelInput.getFunctionName());
+            mlTaskManager
+                .updateMLTask(
+                    taskId,
+                    ImmutableMap.of(FUNCTION_NAME_FIELD, mlRegisterModelInput.getFunctionName()),
+                    TIMEOUT_IN_MILLIS,
+                    false
+                );
             registerModelFromUrl(mlRegisterModelInput, mlTask, modelVersion);
         }, e -> {
             log.error("Failed to register prebuilt model", e);
diff --git a/plugin/src/test/java/org/opensearch/ml/model/MLModelManagerTests.java b/plugin/src/test/java/org/opensearch/ml/model/MLModelManagerTests.java
index 525bc95eda..14034aa93e 100644
--- a/plugin/src/test/java/org/opensearch/ml/model/MLModelManagerTests.java
+++ b/plugin/src/test/java/org/opensearch/ml/model/MLModelManagerTests.java
@@ -21,9 +21,11 @@
 import static org.mockito.Mockito.times;
 import static org.mockito.Mockito.verify;
 import static org.mockito.Mockito.when;
+import static org.opensearch.ml.common.MLTask.FUNCTION_NAME_FIELD;
 import static org.opensearch.ml.engine.ModelHelper.CHUNK_FILES;
 import static org.opensearch.ml.engine.ModelHelper.MODEL_FILE_HASH;
 import static org.opensearch.ml.engine.ModelHelper.MODEL_SIZE_IN_BYTES;
+import static org.opensearch.ml.model.MLModelManager.TIMEOUT_IN_MILLIS;
 import static org.opensearch.ml.plugin.MachineLearningPlugin.DEPLOY_THREAD_POOL;
 import static org.opensearch.ml.plugin.MachineLearningPlugin.REGISTER_THREAD_POOL;
 import static org.opensearch.ml.settings.MLCommonsSettings.ML_COMMONS_MAX_DEPLOY_MODEL_TASKS_PER_NODE;
@@ -49,8 +51,10 @@
 import java.net.URISyntaxException;
 import java.nio.charset.StandardCharsets;
 import java.nio.file.Path;
+import java.security.PrivilegedActionException;
 import java.util.Arrays;
 import java.util.Base64;
+import java.util.Collections;
 import java.util.HashMap;
 import java.util.List;
 import java.util.Map;
@@ -168,6 +172,9 @@ public class MLModelManagerTests extends OpenSearchTestCase {
     @Mock
     private ScriptService scriptService;
 
+    @Mock
+    private MLTask pretrainedMLTask;
+
     @Before
     public void setup() throws URISyntaxException {
         String masterKey = "m+dWmfmnNRiNlOdej/QelEkvMTyH//frS2TBeS2BP4w=";
@@ -373,6 +380,35 @@ public void testRegisterMLModel_DownloadModelFileFailure() {
         verify(modelHelper).downloadAndSplit(eq(modelFormat), eq(modelId), eq(modelName), eq(version), eq(url), any(), any(), any());
     }
 
+    public void testRegisterMLModel_RegisterPreBuildModel() throws PrivilegedActionException {
+        doNothing().when(mlTaskManager).checkLimitAndAddRunningTask(any(), any());
+        when(mlCircuitBreakerService.checkOpenCB()).thenReturn(null);
+        when(threadPool.executor(REGISTER_THREAD_POOL)).thenReturn(taskExecutorService);
+        when(modelHelper.downloadPrebuiltModelMetaList(any(), any())).thenReturn(Collections.singletonList("demo"));
+        when(modelHelper.isModelAllowed(any(), any())).thenReturn(true);
+        MLRegisterModelInput pretrainedInput = mockPretrainedInput();
+        doAnswer(invocation -> {
+            ActionListener<MLRegisterModelInput> listener = (ActionListener<MLRegisterModelInput>) invocation.getArguments()[2];
+            listener.onResponse(pretrainedInput);
+            return null;
+        }).when(modelHelper).downloadPrebuiltModelConfig(any(), any(), any());
+        MLTask pretrainedTask = MLTask
+            .builder()
+            .taskId("pretrained")
+            .modelId("pretrained")
+            .functionName(FunctionName.TEXT_EMBEDDING)
+            .build();
+        modelManager.registerMLModel(pretrainedInput, pretrainedTask);
+        assertEquals(pretrainedTask.getFunctionName(), FunctionName.SPARSE_ENCODING);
+        verify(mlTaskManager)
+            .updateMLTask(
+                eq("pretrained"),
+                eq(ImmutableMap.of(FUNCTION_NAME_FIELD, FunctionName.SPARSE_ENCODING)),
+                eq((long) TIMEOUT_IN_MILLIS),
+                eq(false)
+            );
+    }
+
     @Ignore
     public void testRegisterMLModel_DownloadModelFile() throws IOException {
         doNothing().when(mlTaskManager).checkLimitAndAddRunningTask(any(), any());
@@ -916,4 +952,15 @@ private MLRegisterModelMetaInput prepareRequest() {
             .build();
         return input;
     }
+
+    private MLRegisterModelInput mockPretrainedInput() {
+        return MLRegisterModelInput
+            .builder()
+            .modelName(modelName)
+            .version(version)
+            .modelGroupId("modelGroupId")
+            .modelFormat(modelFormat)
+            .functionName(FunctionName.SPARSE_ENCODING)
+            .build();
+    }
 }