diff --git a/module-common/src/main/java/com/mile/exception/message/ErrorMessage.java b/module-common/src/main/java/com/mile/exception/message/ErrorMessage.java
index 3347fc6a..85f26d86 100644
--- a/module-common/src/main/java/com/mile/exception/message/ErrorMessage.java
+++ b/module-common/src/main/java/com/mile/exception/message/ErrorMessage.java
@@ -87,6 +87,7 @@ public enum ErrorMessage {
     IMAGE_DELETE_ERROR(HttpStatus.INTERNAL_SERVER_ERROR.value(), "S3 버킷으로부터 이미지를 삭제하는 데 실패했습니다."),
     INTERNAL_SERVER_ERROR(HttpStatus.INTERNAL_SERVER_ERROR.value(), "서버 내부 오류입니다."),
     DISCORD_LOG_APPENDER_ERROR(HttpStatus.INTERNAL_SERVER_ERROR.value(), "디스코드 로그 전송에 실패하였습니다"),
+    TIME_OUT_EXCEPTION(HttpStatus.INTERNAL_SERVER_ERROR.value(), "락을 획득하는 과정에서 Time Out이 발생했습니다."),
     ;
 
     final int status;
diff --git a/module-domain/src/main/java/com/mile/moim/service/lock/MoimNameRequestAspect.java b/module-domain/src/main/java/com/mile/moim/service/lock/MoimNameRequestAspect.java
index fc4384d4..719b6ed6 100644
--- a/module-domain/src/main/java/com/mile/moim/service/lock/MoimNameRequestAspect.java
+++ b/module-domain/src/main/java/com/mile/moim/service/lock/MoimNameRequestAspect.java
@@ -1,5 +1,7 @@
 package com.mile.moim.service.lock;
 
+import com.mile.exception.message.ErrorMessage;
+import com.mile.exception.model.MileException;
 import lombok.RequiredArgsConstructor;
 import org.aspectj.lang.ProceedingJoinPoint;
 import org.aspectj.lang.annotation.Around;
@@ -38,7 +40,7 @@ public Object validateUniqueName(final ProceedingJoinPoint joinPoint) throws Thr
     }
 
     public void checkAvailability(final Boolean available) {
-        if (!available) throw new RuntimeException("Lock is Unavailable");
+        if (!available) throw new MileException(ErrorMessage.TIME_OUT_EXCEPTION);
     }
 
 }