diff --git a/native/spark-expr/src/datetime_funcs/date_trunc.rs b/native/spark-expr/src/datetime_funcs/date_trunc.rs
index 6d36b0975c..aeae18e36f 100644
--- a/native/spark-expr/src/datetime_funcs/date_trunc.rs
+++ b/native/spark-expr/src/datetime_funcs/date_trunc.rs
@@ -16,7 +16,9 @@
 // under the License.
 
 use arrow::datatypes::DataType;
-use datafusion::common::{utils::take_function_args, DataFusionError, Result, ScalarValue::Utf8};
+use datafusion::common::{
+    utils::take_function_args, DataFusionError, Result, ScalarValue, ScalarValue::Utf8,
+};
 use datafusion::logical_expr::{
     ColumnarValue, ScalarFunctionArgs, ScalarUDFImpl, Signature, Volatility,
 };
@@ -76,9 +78,14 @@ impl ScalarUDFImpl for SparkDateTrunc {
                 let result = date_trunc_array_fmt_dyn(&date, &formats)?;
                 Ok(ColumnarValue::Array(result))
             }
+            (ColumnarValue::Scalar(date_scalar), ColumnarValue::Scalar(Utf8(Some(format)))) => {
+                let date_arr = date_scalar.to_array()?;
+                let result = date_trunc_dyn(&date_arr, format)?;
+                let scalar = ScalarValue::try_from_array(&result, 0)?;
+                Ok(ColumnarValue::Scalar(scalar))
+            }
             _ => Err(DataFusionError::Execution(
-                "Invalid input to function DateTrunc. Expected (PrimitiveArray<Date32>, Scalar) or \
-                    (PrimitiveArray<Date32>, StringArray)".to_string(),
+                "Invalid input to function DateTrunc. Expected (Date32, Utf8)".to_string(),
             )),
         }
     }
diff --git a/native/spark-expr/src/datetime_funcs/timestamp_trunc.rs b/native/spark-expr/src/datetime_funcs/timestamp_trunc.rs
index 1a35f02e07..2d7a571b76 100644
--- a/native/spark-expr/src/datetime_funcs/timestamp_trunc.rs
+++ b/native/spark-expr/src/datetime_funcs/timestamp_trunc.rs
@@ -18,7 +18,7 @@
 use crate::utils::array_with_timezone;
 use arrow::datatypes::{DataType, Schema, TimeUnit::Microsecond};
 use arrow::record_batch::RecordBatch;
-use datafusion::common::{DataFusionError, ScalarValue::Utf8};
+use datafusion::common::{DataFusionError, ScalarValue, ScalarValue::Utf8};
 use datafusion::logical_expr::ColumnarValue;
 use datafusion::physical_expr::PhysicalExpr;
 use std::hash::Hash;
@@ -130,10 +130,20 @@ impl PhysicalExpr for TimestampTruncExpr {
                 let result = timestamp_trunc_array_fmt_dyn(&ts, &formats)?;
                 Ok(ColumnarValue::Array(result))
             }
+            (ColumnarValue::Scalar(ts_scalar), ColumnarValue::Scalar(Utf8(Some(format)))) => {
+                let ts_arr = ts_scalar.to_array()?;
+                let ts = array_with_timezone(
+                    ts_arr,
+                    tz.clone(),
+                    Some(&DataType::Timestamp(Microsecond, Some(tz.into()))),
+                )?;
+                let result = timestamp_trunc_dyn(&ts, format)?;
+                let scalar = ScalarValue::try_from_array(&result, 0)?;
+                Ok(ColumnarValue::Scalar(scalar))
+            }
             _ => Err(DataFusionError::Execution(
                 "Invalid input to function TimestampTrunc. \
-                    Expected (PrimitiveArray<TimestampMicrosecondType>, Scalar, String) or \
-                    (PrimitiveArray<TimestampMicrosecondType>, StringArray, String)"
+                    Expected (Timestamp, Utf8)"
                     .to_string(),
             )),
         }
diff --git a/spark/src/test/scala/org/apache/comet/CometTemporalExpressionSuite.scala b/spark/src/test/scala/org/apache/comet/CometTemporalExpressionSuite.scala
index 1ae6926e05..2f14fa1d6c 100644
--- a/spark/src/test/scala/org/apache/comet/CometTemporalExpressionSuite.scala
+++ b/spark/src/test/scala/org/apache/comet/CometTemporalExpressionSuite.scala
@@ -58,6 +58,13 @@ class CometTemporalExpressionSuite extends CometTestBase with AdaptiveSparkPlanH
     checkSparkAnswerAndFallbackReason(
       "SELECT c0, trunc(c0, c1) from tbl order by c0, c1",
       "Invalid format strings will throw an exception instead of returning NULL")
+
+    // Disable constant folding to ensure literal expressions are executed by Comet
+    withSQLConf(
+      SQLConf.OPTIMIZER_EXCLUDED_RULES.key ->
+        "org.apache.spark.sql.catalyst.optimizer.ConstantFolding") {
+      checkSparkAnswerAndOperator("SELECT trunc(DATE('2024-06-15'), 'year')")
+    }
   }
 
   test("date_trunc (TruncTimestamp) - reading from DataFrame") {
@@ -82,6 +89,13 @@ class CometTemporalExpressionSuite extends CometTestBase with AdaptiveSparkPlanH
       checkSparkAnswerAndFallbackReason(
         "SELECT c0, date_trunc(fmt, c0) from tbl order by c0, fmt",
         "Invalid format strings will throw an exception instead of returning NULL")
+
+      // Disable constant folding to ensure literal expressions are executed by Comet
+      withSQLConf(
+        SQLConf.OPTIMIZER_EXCLUDED_RULES.key ->
+          "org.apache.spark.sql.catalyst.optimizer.ConstantFolding") {
+        checkSparkAnswerAndOperator("SELECT date_trunc('year', TIMESTAMP '2024-06-15 10:30:45')")
+      }
     }
   }