diff --git a/src/BuildFlow.Host/Configuration/DatabaseInitializer.cs b/src/BuildFlow.Host/Configuration/DatabaseInitializer.cs
index 43f37b9..1734f23 100644
--- a/src/BuildFlow.Host/Configuration/DatabaseInitializer.cs
+++ b/src/BuildFlow.Host/Configuration/DatabaseInitializer.cs
@@ -128,6 +128,7 @@ public static class DatabaseInitializer
                 var db = sp.GetRequiredService<T>();
                 var options = new DbContextOptionsBuilder<T>()
                     .UseNpgsql(db.Database.GetConnectionString())
+                    .UseSnakeCaseNamingConvention()
                     .ConfigureWarnings(w => w.Ignore(RelationalEventId.PendingModelChangesWarning))
                     .Options;
                 await using var tmp = (T)Activator.CreateInstance(typeof(T), options)!;
diff --git a/src/BuildFlow.Host/Endpoints/workflow/BuildFlow/CustomFunctions/CreateCustomFunctionEndpoint.cs b/src/BuildFlow.Host/Endpoints/workflow/BuildFlow/CustomFunctions/CreateCustomFunctionEndpoint.cs
index 8396162..65eb114 100644
--- a/src/BuildFlow.Host/Endpoints/workflow/BuildFlow/CustomFunctions/CreateCustomFunctionEndpoint.cs
+++ b/src/BuildFlow.Host/Endpoints/workflow/BuildFlow/CustomFunctions/CreateCustomFunctionEndpoint.cs
@@ -24,7 +24,8 @@ public class CreateCustomFunctionEndpoint(IMediator mediator)
                 req.Code,
                 req.InputSchema,
                 req.OutputSchema,
-                req.TimeoutMs),
+                req.TimeoutMs,
+                req.FormDefinitionId),
             ct);
         await Send.ResponseAsync(result, 201, ct);
     }
diff --git a/src/BuildFlow.Host/Endpoints/workflow/BuildFlow/CustomFunctions/CreateCustomFunctionRequest.cs b/src/BuildFlow.Host/Endpoints/workflow/BuildFlow/CustomFunctions/CreateCustomFunctionRequest.cs
index 78bfa05..cb19326 100644
--- a/src/BuildFlow.Host/Endpoints/workflow/BuildFlow/CustomFunctions/CreateCustomFunctionRequest.cs
+++ b/src/BuildFlow.Host/Endpoints/workflow/BuildFlow/CustomFunctions/CreateCustomFunctionRequest.cs
@@ -2,6 +2,7 @@ namespace BuildFlow.Host.Endpoints.Workflow.BuildFlow.CustomFunctions;
 
 /// <summary>创建自定义函数请求。</summary>
 public sealed record CreateCustomFunctionRequest(
+    Guid? FormDefinitionId,
     string Name,
     string DisplayName,
     string? Description,
diff --git a/src/BuildFlow.Host/Endpoints/workflow/BuildFlow/CustomFunctions/GetCustomFunctionListEndpoint.cs b/src/BuildFlow.Host/Endpoints/workflow/BuildFlow/CustomFunctions/GetCustomFunctionListEndpoint.cs
index 79d330b..8cc7060 100644
--- a/src/BuildFlow.Host/Endpoints/workflow/BuildFlow/CustomFunctions/GetCustomFunctionListEndpoint.cs
+++ b/src/BuildFlow.Host/Endpoints/workflow/BuildFlow/CustomFunctions/GetCustomFunctionListEndpoint.cs
@@ -18,7 +18,12 @@ public class GetCustomFunctionListEndpoint(IMediator mediator)
     public override async Task HandleAsync(GetCustomFunctionListRequest req, CancellationToken ct)
     {
         var result = await mediator.Send(
-            new GetCustomFunctionListQuery(req.PageIndex, req.PageSize, req.Status, req.Keyword),
+            new GetCustomFunctionListQuery(
+                req.PageIndex,
+                req.PageSize,
+                req.Status,
+                req.Keyword,
+                req.FormDefinitionId),
             ct);
         await Send.OkAsync(result, ct);
     }
diff --git a/src/BuildFlow.Host/Endpoints/workflow/BuildFlow/CustomFunctions/GetCustomFunctionListRequest.cs b/src/BuildFlow.Host/Endpoints/workflow/BuildFlow/CustomFunctions/GetCustomFunctionListRequest.cs
index 2c61275..1b503ef 100644
--- a/src/BuildFlow.Host/Endpoints/workflow/BuildFlow/CustomFunctions/GetCustomFunctionListRequest.cs
+++ b/src/BuildFlow.Host/Endpoints/workflow/BuildFlow/CustomFunctions/GetCustomFunctionListRequest.cs
@@ -9,4 +9,5 @@ public class GetCustomFunctionListRequest
     public int PageSize { get; set; } = 20;
     public BuildFlowMetadataStatus? Status { get; set; }
     public string? Keyword { get; set; }
+    public Guid? FormDefinitionId { get; set; }
 }