Two vicious pit bulls are terrorizing a ritzy Battery Park City building filled with young families, and their owner is refusing to keep them muzzled in common areas, residents claim in a new lawsuit seeking the dogs’ ouster.

The Battery Pointe Condo board on Rector Place off the Hudson River is suing resident Jason Klabal after a series of incidents with the aggressive canines, including in May, when one of his dogs bit a neighbor’s Yorkie mix.

“The guy had the pit bull off the leash, and it just ripped the Yorkie apart,” board member Leslie Lipton told The Post.

Klabal declined to comment.