Translink said platform one was closed until further notice and Belfast-bound passengers on the Larne line should travel on to Central Station and change back to Yorkgate.
The ticket office at the north Belfast station has also been closed.
Translink offered a Â£1,000 reward for information which leads to a successful prosecution.
"We have a zero tolerance approach to antisocial behaviour ," the train operator added.
Police received reports of vandalism at 05:45 BST and officers are at the scene.
Passengers are facing disruption after Yorkgate station in Belfast was "extensively vandalised" overnight.