Mache's wife, Jenny, told authorities the argument stemmed from marital issues and her husband wanting to take the children to a town where they once lived.
Masche was arrested on Sept. 11 and posted a $3,500 bond the following day. A court official said he pleaded not guilty to three counts of domestic violence involving disorderly conduct and threats, and a single count of resisting arrest.
The show "Raising Sextuplets" is on WE TV.