diff --git a/fe/fe-core/src/main/java/org/apache/doris/nereids/trees/expressions/functions/executable/ExecutableFunctions.java b/fe/fe-core/src/main/java/org/apache/doris/nereids/trees/expressions/functions/executable/ExecutableFunctions.java
index 2e84542fd04450..42ad228ad722d7 100644
--- a/fe/fe-core/src/main/java/org/apache/doris/nereids/trees/expressions/functions/executable/ExecutableFunctions.java
+++ b/fe/fe-core/src/main/java/org/apache/doris/nereids/trees/expressions/functions/executable/ExecutableFunctions.java
@@ -26,10 +26,12 @@
 import org.apache.doris.nereids.trees.expressions.literal.FloatLiteral;
 import org.apache.doris.nereids.trees.expressions.literal.IntegerLiteral;
 import org.apache.doris.nereids.trees.expressions.literal.LargeIntLiteral;
+import org.apache.doris.nereids.trees.expressions.literal.NullLiteral;
 import org.apache.doris.nereids.trees.expressions.literal.SmallIntLiteral;
 import org.apache.doris.nereids.trees.expressions.literal.StringLikeLiteral;
 import org.apache.doris.nereids.trees.expressions.literal.TinyIntLiteral;
 import org.apache.doris.nereids.trees.expressions.literal.VarcharLiteral;
+import org.apache.doris.nereids.types.DoubleType;
 
 import java.math.BigInteger;
 import java.security.SecureRandom;
@@ -90,9 +92,17 @@ public static Expression abs(DecimalV3Literal literal) {
         return new DecimalV3Literal(literal.getValue().abs());
     }
 
+    /**
+     * acos scalar function
+     */
     @ExecFunction(name = "acos", argTypes = {"DOUBLE"}, returnType = "DOUBLE")
     public static Expression acos(DoubleLiteral literal) {
-        return new DoubleLiteral(Math.acos(literal.getValue()));
+        double result = Math.acos(literal.getValue());
+        if (Double.isNaN(result)) {
+            return new NullLiteral(DoubleType.INSTANCE);
+        } else {
+            return new DoubleLiteral(result);
+        }
     }
 
     @ExecFunction(name = "append_trailing_char_if_absent", argTypes = {"VARCHAR", "VARCHAR"}, returnType = "VARCHAR")
diff --git a/regression-test/data/nereids_function_p0/scalar_function/A.out b/regression-test/data/nereids_function_p0/scalar_function/A.out
index f2330c11375fa4..20ad9d7fd19740 100644
--- a/regression-test/data/nereids_function_p0/scalar_function/A.out
+++ b/regression-test/data/nereids_function_p0/scalar_function/A.out
@@ -260,6 +260,12 @@
 \N
 \N
 
+-- !sql_acos_Double_NAN --
+\N
+
+-- !sql_acos_Double_NULL --
+\N
+
 -- !sql_append_trailing_char_if_absent_Varchar_Varchar --
 \N
 \N
@@ -437,29 +443,29 @@
 -- !sql_atan2_Double --
 \N
 1.4711276743037345
-1.3734007669450159
+1.373400766945016
 1.2793395323170296
 1.1902899496825317
 1.1071487177940904
 1.0303768265243125
 0.960070362405688
-0.89605538457134393
+0.8960553845713439
 0.83798122500839
-0.78539816339744828
-0.73781506012046483
-0.69473827619670314
+0.7853981633974483
+0.7378150601204648
+0.6947382761967031
 
 -- !sql_atan2_Double_notnull --
 1.4711276743037345
-1.3734007669450159
+1.373400766945016
 1.2793395323170296
 1.1902899496825317
 1.1071487177940904
 1.0303768265243125
 0.960070362405688
-0.89605538457134393
+0.8960553845713439
 0.83798122500839
-0.78539816339744828
-0.73781506012046483
-0.69473827619670314
+0.7853981633974483
+0.7378150601204648
+0.6947382761967031
 
diff --git a/regression-test/suites/nereids_function_p0/scalar_function/A.groovy b/regression-test/suites/nereids_function_p0/scalar_function/A.groovy
index 6938f916e0d0aa..4ae51024d3402d 100644
--- a/regression-test/suites/nereids_function_p0/scalar_function/A.groovy
+++ b/regression-test/suites/nereids_function_p0/scalar_function/A.groovy
@@ -37,6 +37,8 @@ suite("nereids_scalar_fn_A") {
 	qt_sql_abs_DecimalV2_notnull "select abs(kdcmls1) from fn_test_not_nullable order by kdcmls1"
 	qt_sql_acos_Double "select acos(kdbl) from fn_test order by kdbl"
 	qt_sql_acos_Double_notnull "select acos(kdbl) from fn_test_not_nullable order by kdbl"
+    qt_sql_acos_Double_NAN "select acos(cast(1.1 as double))"
+	qt_sql_acos_Double_NULL "select acos(null)"
 	sql "select aes_decrypt(kvchrs1, kvchrs1) from fn_test order by kvchrs1, kvchrs1"
 	sql "select aes_decrypt(kvchrs1, kvchrs1) from fn_test_not_nullable order by kvchrs1, kvchrs1"
 	sql "select aes_decrypt(kstr, kstr) from fn_test order by kstr, kstr"