diff --git a/fe/fe-core/src/main/java/org/apache/doris/nereids/trees/expressions/functions/scalar/UtcTime.java b/fe/fe-core/src/main/java/org/apache/doris/nereids/trees/expressions/functions/scalar/UtcTime.java
index 9210bab252b919..bc239d24cf8740 100644
--- a/fe/fe-core/src/main/java/org/apache/doris/nereids/trees/expressions/functions/scalar/UtcTime.java
+++ b/fe/fe-core/src/main/java/org/apache/doris/nereids/trees/expressions/functions/scalar/UtcTime.java
@@ -84,8 +84,13 @@ public FunctionSignature computeSignature(FunctionSignature signature) {
 
     @Override
     public void checkLegalityAfterRewrite() {
-        if (arity() == 1 && !child(0).isLiteral()) {
-            throw new AnalysisException("UTC_TIME scale argument must be a constant literal.");
+        if (arity() == 1) {
+            if (child(0).isNullLiteral()) {
+                throw new AnalysisException("UTC_TIME argument cannot be NULL.");
+            }
+            if (!child(0).isLiteral()) {
+                throw new AnalysisException("UTC_TIME scale argument must be a constant literal.");
+            }
         }
     }
 
diff --git a/fe/fe-core/src/main/java/org/apache/doris/nereids/trees/expressions/functions/scalar/UtcTimestamp.java b/fe/fe-core/src/main/java/org/apache/doris/nereids/trees/expressions/functions/scalar/UtcTimestamp.java
index 62965878289a64..4e35392ce63558 100644
--- a/fe/fe-core/src/main/java/org/apache/doris/nereids/trees/expressions/functions/scalar/UtcTimestamp.java
+++ b/fe/fe-core/src/main/java/org/apache/doris/nereids/trees/expressions/functions/scalar/UtcTimestamp.java
@@ -79,8 +79,13 @@ public FunctionSignature computeSignature(FunctionSignature signature) {
 
     @Override
     public void checkLegalityAfterRewrite() {
-        if (arity() == 1 && !child(0).isLiteral()) {
-            throw new AnalysisException("UTC_TIMESTAMP scale argument must be a constant literal.");
+        if (arity() == 1) {
+            if (child(0).isNullLiteral()) {
+                throw new AnalysisException("UTC_TIMESTAMP argument cannot be NULL.");
+            }
+            if (!child(0).isLiteral()) {
+                throw new AnalysisException("UTC_TIMESTAMP scale argument must be a constant literal.");
+            }
         }
     }
 
diff --git a/regression-test/suites/query_p0/sql_functions/datetime_functions/test_date_function.groovy b/regression-test/suites/query_p0/sql_functions/datetime_functions/test_date_function.groovy
index 542b8778d6368c..2d9c6feb995b6f 100644
--- a/regression-test/suites/query_p0/sql_functions/datetime_functions/test_date_function.groovy
+++ b/regression-test/suites/query_p0/sql_functions/datetime_functions/test_date_function.groovy
@@ -506,7 +506,12 @@ suite("test_date_function") {
         sql """ select utc_timestamp(7) """
         exception "scale must be between 0 and 6"
     }
+    test {
+        sql """ SELECT UTC_TIMESTAMP(NULL); """
+        exception "UTC_TIMESTAMP argument cannot be NULL."
+    }
 
+    // UTC_TIME
     def utc_time_str = sql """ select utc_time(),utc_time() + 1 """
     assertTrue(utc_time_str[0].size() == 2)
     utc_time_str = sql """ select utc_time(6), utc_time(6) + 1 """
@@ -515,6 +520,10 @@ suite("test_date_function") {
         sql """ select utc_time(7) """
         exception "scale must be between 0 and 6"
     }
+    test {
+        sql """ SELECT UTC_TIME(NULL); """
+        exception "UTC_TIME argument cannot be NULL."
+    }
 
     def utc_date_str = sql """ select utc_date(),utc_date() + 1 """
     assertTrue(utc_date_str[0].size() == 2)