Creat task for other user by the workflow

   Hi,

I have created workflow, to create new task when new lead is saved in the system, and it doesn't seem to work when lead is created by one person and assigned as a owner to someone else.

When I crate a lead in that way it works, but if one of my users tries to do it, it doesn't. How I can give access to crate a task for other users by the workflow? Just wanted to add that user can crate task for someone else if trying to do manually.

Can anyone help?