diff --git a/src/client/src/tscSQLParser.c b/src/client/src/tscSQLParser.c
index 561f7343eadafd7f7981cc43c30140b5bd30d9b2..09655348baef5ca7d9fece130c0e06f4ae1785b8 100644
--- a/src/client/src/tscSQLParser.c
+++ b/src/client/src/tscSQLParser.c
@@ -2727,7 +2727,7 @@ int32_t addExprAndResultField(SSqlCmd* pCmd, SQueryInfo* pQueryInfo, int32_t col
 
       memset(pExpr->base.aliasName, 0, tListLen(pExpr->base.aliasName));
       getColumnName(pItem, pExpr->base.aliasName, pExpr->base.token,sizeof(pExpr->base.aliasName) - 1);
-      
+
       SColumnList list = createColumnList(1, index.tableIndex, index.columnIndex);
       if (finalResult) {
         int32_t numOfOutput = tscNumOfFields(pQueryInfo);
@@ -2852,6 +2852,13 @@ int32_t addExprAndResultField(SSqlCmd* pCmd, SQueryInfo* pQueryInfo, int32_t col
         char val[8] = {0};
 
         int64_t tickPerSec = 0;
+        char *exprToken = tcalloc(pParamElem[1].pNode->exprToken.n + 1, sizeof(char));
+        memcpy(exprToken, pParamElem[1].pNode->exprToken.z, pParamElem[1].pNode->exprToken.n);
+        if (pParamElem[1].pNode->exprToken.type == TK_NOW || strstr(exprToken, "now")) {
+          return invalidOperationMsg(tscGetErrorMsgPayload(pCmd), msg2);
+        }
+        tfree(exprToken);
+
         if ((TSDB_DATA_TYPE_NULL == pParamElem[1].pNode->value.nType) || tVariantDump(&pParamElem[1].pNode->value, (char*) &tickPerSec, TSDB_DATA_TYPE_BIGINT, true) < 0) {
           return TSDB_CODE_TSC_INVALID_OPERATION;
         }
@@ -2866,7 +2873,7 @@ int32_t addExprAndResultField(SSqlCmd* pCmd, SQueryInfo* pQueryInfo, int32_t col
           return invalidOperationMsg(tscGetErrorMsgPayload(pCmd), msg10);
         } else if (tickPerSec <= 0) {
           return invalidOperationMsg(tscGetErrorMsgPayload(pCmd), msg16);
-        } 
+        }
 
         tscExprAddParams(&pExpr->base, (char*) &tickPerSec, TSDB_DATA_TYPE_BIGINT, LONG_BYTES);
         if (functionId == TSDB_FUNC_DERIVATIVE) {
@@ -4906,14 +4913,14 @@ static int32_t validateNullExpr(tSqlExpr* pExpr, STableMeta* pTableMeta, int32_t
     if (IS_VAR_DATA_TYPE(pSchema[index].type) || pSchema[index].type == TSDB_DATA_TYPE_JSON) {
       return TSDB_CODE_SUCCESS;
     }
-    
+
     char *v = strndup(pRight->exprToken.z, pRight->exprToken.n);
     int32_t len = strRmquote(v, pRight->exprToken.n);
     if (len > 0) {
       uint32_t type = 0;
       tGetToken(v, &type);
 
-      if (type == TK_NULL) {        
+      if (type == TK_NULL) {
         free(v);
         return invalidOperationMsg(msgBuf, msg);
       }
diff --git a/tests/pytest/functions/function_derivative.py b/tests/pytest/functions/function_derivative.py
index a2a458ea290b13ed462d8dcd47a8af16e3af0f82..3696dc24010cdbff6d4e139a4224a23469403041 100644
--- a/tests/pytest/functions/function_derivative.py
+++ b/tests/pytest/functions/function_derivative.py
@@ -140,6 +140,9 @@ class TDTestCase:
                 tdSql.error("select derivative(col, 1s, 1) from tb2")
                 tdSql.error("select derivative(col, 10s, 0) from tb2")
                 tdSql.error("select derivative(col, 999ms, 0) from tb2")
+                tdSql.error("select derivative(col, now, 0) from tb2") #TD-11983 now not allowed in second param
+                tdSql.error("select derivative(col, now+3d-8h+6m, 0) from tb2") #TD-11983 now not allowed in second param
+                tdSql.error("select derivative(col, 3d-8h+now+6m, 0) from tb2") #TD-11983 now not allowed in second param
 
             tdSql.error("select derivative(col, 10s, 1) from stb")
             tdSql.error("select derivative(col, 10s, 1) from stb group by col")
@@ -150,6 +153,9 @@ class TDTestCase:
             tdSql.error("select derivative(col, 10y, 0) from stb group by tbname")      #TD-10399, DB error: syntax error near '10y, 0) from stb group by tbname;'
             tdSql.error("select derivative(col, -106752d, 0) from stb group by tbname") #TD-10398 overflow tips
             tdSql.error("select derivative(col, 106751991168d, 0) from stb group by tbname") #TD-10398 overflow tips
+            tdSql.error("select derivative(col, now, 1) from stb") #TD-11983 now not allowed in second param
+            tdSql.error("select derivative(col, now+3d-8h+6m, 1) from stb") #TD-11983 now not allowed in second param
+            tdSql.error("select derivative(col, 3d-8h+now+6m, 1) from stb") #TD-11983 now not allowed in second param
 
     def run(self):
         tdSql.prepare()        
diff --git a/tests/pytest/functions/function_elapsed_case.py b/tests/pytest/functions/function_elapsed_case.py
index 50fbb0fe3244ec214e040f43962321a28ed31d9b..025354f2c3e31d1483f339e0e4f23bbda4c1e997 100644
--- a/tests/pytest/functions/function_elapsed_case.py
+++ b/tests/pytest/functions/function_elapsed_case.py
@@ -345,7 +345,9 @@ class ElapsedCase:
         tdSql.error("select elapsed(*) from t1 where ts > '2021-11-22 00:00:00' and ts < '2021-11-23 00:00:00'")
         tdSql.error("select elapsed(ts, '1s') from t1 where ts > '2021-11-22 00:00:00' and ts < '2021-11-23 00:00:00'")
         tdSql.error("select elapsed(ts, i) from t1 where ts > '2021-11-22 00:00:00' and ts < '2021-11-23 00:00:00'")
-        #tdSql.error("select elapsed(ts, now) from t1 where ts > '2021-11-22 00:00:00' and ts < '2021-11-23 00:00:00'")
+        tdSql.error("select elapsed(ts, now) from t1 where ts > '2021-11-22 00:00:00' and ts < '2021-11-23 00:00:00'")
+        tdSql.error("select elapsed(ts, now-7d+2h-3m+2s) from t1 where ts > '2021-11-22 00:00:00' and ts < '2021-11-23 00:00:00'")
+        tdSql.error("select elapsed(ts, 7d+2h+now+3m+2s) from t1 where ts > '2021-11-22 00:00:00' and ts < '2021-11-23 00:00:00'")
         tdSql.error("select elapsed(ts, ts) from t1 where ts > '2021-11-22 00:00:00' and ts < '2021-11-23 00:00:00'")
         tdSql.error("select elapsed(ts + 1) from t1 where ts > '2021-11-22 00:00:00' and ts < '2021-11-23 00:00:00'")
         tdSql.error("select elapsed(ts, 1b) from t1 where ts > '2021-11-22 00:00:00' and ts < '2021-11-23 00:00:00'")