diff --git a/src/main/java/com/codeit/todo/common/exception/likes/LikesNotFoundException.java b/src/main/java/com/codeit/todo/common/exception/likes/LikesNotFoundException.java
new file mode 100644
index 0000000..a97b8ef
--- /dev/null
+++ b/src/main/java/com/codeit/todo/common/exception/likes/LikesNotFoundException.java
@@ -0,0 +1,14 @@
+package com.codeit.todo.common.exception.likes;
+
+import com.codeit.todo.common.exception.EntityNotFoundException;
+
+public class LikesNotFoundException extends EntityNotFoundException {
+    private static final String ENTITY_TYPE = "likes";
+
+    /**
+     * @param request    엔티티를 찾기 위해 요청한 값
+     */
+    public LikesNotFoundException(String request) {
+        super(request, ENTITY_TYPE);
+    }
+}
\ No newline at end of file
diff --git a/src/main/java/com/codeit/todo/domain/Likes.java b/src/main/java/com/codeit/todo/domain/Likes.java
index 1146652..84d7206 100644
--- a/src/main/java/com/codeit/todo/domain/Likes.java
+++ b/src/main/java/com/codeit/todo/domain/Likes.java
@@ -2,6 +2,7 @@
 
 import jakarta.persistence.*;
 import lombok.AccessLevel;
+import lombok.Builder;
 import lombok.Getter;
 import lombok.NoArgsConstructor;
 
@@ -20,4 +21,18 @@ public class Likes {
     @ManyToOne(fetch = FetchType.LAZY)
     @JoinColumn(name = "complete_id", nullable = false)
     private Complete complete;
+
+    @Builder
+    public Likes(int likesId, User user, Complete complete) {
+        this.likesId = likesId;
+        this.user = user;
+        this.complete = complete;
+    }
+
+    public static Likes toEntity(User user, Complete complete) {
+        return Likes.builder()
+                .user(user)
+                .complete(complete)
+                .build();
+    }
 }
diff --git a/src/main/java/com/codeit/todo/repository/LikesRepository.java b/src/main/java/com/codeit/todo/repository/LikesRepository.java
index 06c988c..6e179a8 100644
--- a/src/main/java/com/codeit/todo/repository/LikesRepository.java
+++ b/src/main/java/com/codeit/todo/repository/LikesRepository.java
@@ -3,6 +3,10 @@
 import com.codeit.todo.domain.Likes;
 import org.springframework.data.jpa.repository.JpaRepository;
 
+import java.util.Optional;
+
 public interface LikesRepository extends JpaRepository<Likes, Integer> {
     Boolean existsByUser_UserIdAndComplete_CompleteId(int userId, int completeId);
+
+    Optional<Likes> findByComplete_CompleteIdAndUser_UserId(int completeId, int userId);
 }
diff --git a/src/main/java/com/codeit/todo/service/likes/LikesService.java b/src/main/java/com/codeit/todo/service/likes/LikesService.java
new file mode 100644
index 0000000..a6eb7b1
--- /dev/null
+++ b/src/main/java/com/codeit/todo/service/likes/LikesService.java
@@ -0,0 +1,10 @@
+package com.codeit.todo.service.likes;
+
+import com.codeit.todo.web.dto.response.likes.CreateLikeResponse;
+import com.codeit.todo.web.dto.response.likes.DeleteLikeResponse;
+
+public interface LikesService {
+    CreateLikeResponse createLikes(int userId, int completeId);
+
+    DeleteLikeResponse deleteLikes(int userId, int completeId);
+}
diff --git a/src/main/java/com/codeit/todo/service/likes/impl/LikesServiceImpl.java b/src/main/java/com/codeit/todo/service/likes/impl/LikesServiceImpl.java
new file mode 100644
index 0000000..c3fb8ea
--- /dev/null
+++ b/src/main/java/com/codeit/todo/service/likes/impl/LikesServiceImpl.java
@@ -0,0 +1,69 @@
+package com.codeit.todo.service.likes.impl;
+
+import com.codeit.todo.common.exception.auth.AuthorizationDeniedException;
+import com.codeit.todo.common.exception.complete.CompleteNotFoundException;
+import com.codeit.todo.common.exception.likes.LikesNotFoundException;
+import com.codeit.todo.common.exception.user.UserNotFoundException;
+import com.codeit.todo.domain.Complete;
+import com.codeit.todo.domain.Likes;
+import com.codeit.todo.domain.User;
+import com.codeit.todo.repository.CompleteRepository;
+import com.codeit.todo.repository.LikesRepository;
+import com.codeit.todo.repository.UserRepository;
+import com.codeit.todo.service.likes.LikesService;
+import com.codeit.todo.web.dto.response.likes.CreateLikeResponse;
+import com.codeit.todo.web.dto.response.likes.DeleteLikeResponse;
+import lombok.RequiredArgsConstructor;
+import org.springframework.stereotype.Service;
+import org.springframework.transaction.annotation.Transactional;
+
+@Service
+@RequiredArgsConstructor
+@Transactional
+public class LikesServiceImpl implements LikesService {
+
+    private final UserRepository userRepository;
+    private final CompleteRepository completeRepository;
+    private final LikesRepository likesRepository;
+
+    @Override
+    public CreateLikeResponse createLikes(int userId, int completeId) {
+        if (likesRepository.existsByUser_UserIdAndComplete_CompleteId(userId, completeId)) {
+            throw new AuthorizationDeniedException("이미 좋아요를 눌렀습니다.");
+        }
+
+        Complete complete = getComplete(completeId);
+
+        if (complete.getTodo().getGoal().getUser().getUserId() == userId) {
+            throw new AuthorizationDeniedException("자신의 게시글에 좋아요를 누를 수 없습니다.");
+        }
+
+        User user = getUser(userId);
+        Likes likes = Likes.toEntity(user, complete);
+        Likes createdLikes = likesRepository.save(likes);
+
+        return CreateLikeResponse.fromEntity(createdLikes);
+    }
+
+    @Override
+    public DeleteLikeResponse deleteLikes(int userId, int completeId) {
+        Complete complete = getComplete(completeId);
+        User user = getUser(userId);
+
+        Likes likes = likesRepository.findByComplete_CompleteIdAndUser_UserId(complete.getCompleteId(), user.getUserId())
+                        .orElseThrow(() -> new LikesNotFoundException("좋아요를 누른 기록이 없습니다."));
+        likesRepository.delete(likes);
+
+        return DeleteLikeResponse.fromEntity(complete);
+    }
+
+    private Complete getComplete(int completeId) {
+        return completeRepository.findById(completeId)
+                .orElseThrow(() -> new CompleteNotFoundException(String.valueOf(completeId)));
+    }
+
+    private User getUser(int userId) {
+        return userRepository.findById(userId)
+                .orElseThrow(() -> new UserNotFoundException(String.valueOf(userId), "User"));
+    }
+}
diff --git a/src/main/java/com/codeit/todo/web/controller/CompleteController.java b/src/main/java/com/codeit/todo/web/controller/CompleteController.java
index 95be0dd..5bf66b7 100644
--- a/src/main/java/com/codeit/todo/web/controller/CompleteController.java
+++ b/src/main/java/com/codeit/todo/web/controller/CompleteController.java
@@ -5,7 +5,6 @@
 import com.codeit.todo.web.dto.request.complete.UpdateCompleteRequest;
 import com.codeit.todo.web.dto.response.Response;
 import com.codeit.todo.web.dto.response.complete.ReadCompleteDetailResponse;
-import com.codeit.todo.web.dto.response.complete.ReadCompleteResponse;
 import com.codeit.todo.web.dto.response.complete.UpdateCompleteResponse;
 import io.swagger.v3.oas.annotations.Operation;
 import io.swagger.v3.oas.annotations.responses.ApiResponse;
diff --git a/src/main/java/com/codeit/todo/web/controller/LikesController.java b/src/main/java/com/codeit/todo/web/controller/LikesController.java
new file mode 100644
index 0000000..f75941c
--- /dev/null
+++ b/src/main/java/com/codeit/todo/web/controller/LikesController.java
@@ -0,0 +1,36 @@
+package com.codeit.todo.web.controller;
+
+import com.codeit.todo.repository.CustomUserDetails;
+import com.codeit.todo.service.likes.LikesService;
+import com.codeit.todo.web.dto.response.Response;
+import com.codeit.todo.web.dto.response.likes.CreateLikeResponse;
+import com.codeit.todo.web.dto.response.likes.DeleteLikeResponse;
+import lombok.RequiredArgsConstructor;
+import org.springframework.security.core.annotation.AuthenticationPrincipal;
+import org.springframework.web.bind.annotation.*;
+
+@RestController
+@RequiredArgsConstructor
+@RequestMapping("/api/v1/completes/{completeId}/likes")
+public class LikesController {
+
+    private final LikesService likesService;
+
+    @PostMapping
+    public Response<CreateLikeResponse> createLikes(
+            @AuthenticationPrincipal CustomUserDetails userDetails,
+            @PathVariable int completeId
+    ) {
+        int userId = userDetails.getUserId();
+        return Response.ok(likesService.createLikes(userId, completeId));
+    }
+
+    @DeleteMapping
+    public Response<DeleteLikeResponse> deleteLikes(
+            @AuthenticationPrincipal CustomUserDetails userDetails,
+            @PathVariable int completeId
+    ) {
+        int userId = userDetails.getUserId();
+        return Response.ok(likesService.deleteLikes(userId, completeId));
+    }
+}
diff --git a/src/main/java/com/codeit/todo/web/dto/response/likes/CreateLikeResponse.java b/src/main/java/com/codeit/todo/web/dto/response/likes/CreateLikeResponse.java
new file mode 100644
index 0000000..f12e03a
--- /dev/null
+++ b/src/main/java/com/codeit/todo/web/dto/response/likes/CreateLikeResponse.java
@@ -0,0 +1,15 @@
+package com.codeit.todo.web.dto.response.likes;
+
+import com.codeit.todo.domain.Likes;
+import lombok.Builder;
+
+@Builder
+public record CreateLikeResponse(int completeId, int likesId) {
+
+    public static CreateLikeResponse fromEntity(Likes likes) {
+        return CreateLikeResponse.builder()
+                .completeId(likes.getComplete().getCompleteId())
+                .likesId(likes.getLikesId())
+                .build();
+    }
+}
diff --git a/src/main/java/com/codeit/todo/web/dto/response/likes/DeleteLikeResponse.java b/src/main/java/com/codeit/todo/web/dto/response/likes/DeleteLikeResponse.java
new file mode 100644
index 0000000..af56b38
--- /dev/null
+++ b/src/main/java/com/codeit/todo/web/dto/response/likes/DeleteLikeResponse.java
@@ -0,0 +1,14 @@
+package com.codeit.todo.web.dto.response.likes;
+
+import com.codeit.todo.domain.Complete;
+import lombok.Builder;
+
+@Builder
+public record DeleteLikeResponse(int completeId) {
+
+    public static DeleteLikeResponse fromEntity(Complete complete) {
+        return DeleteLikeResponse.builder()
+                .completeId(complete.getCompleteId())
+                .build();
+    }
+}