The former reality TV star also asked the Berks County Court on Wednesday to review his child support obligation.
Gosselin's attorney, Anthony List, has previously accused Kate Gosselin of neglecting the children because she appears on ABC's "Dancing with the Stars," a charge her attorney rejected as "patently false."
In court papers, Jon Gosselin says his ex-wife "abuses" her authority when it comes to scheduling visits with the kids. He also claims an arbitrator failed to require Kate to provide documentation of the children's expenses.
The Gosselins appeared on the TLC reality show "Jon & Kate Plus 8" until their marriage fell apart last year. They divorced in December.