A Brooklyn straphanger was randomly shoved onto subway tracks by a woman in a gray trench coat Sunday morning, cops say.

The 43-year-old victim was standing on a southbound platform at the Kosciuszko Street station in Bedford-Stuyvesant around 9 a.m. when his unidentified assailant in a long coat suddenly pushed him onto the J train tracks, the NYPD and police sources told The Post.

No train was coming at the time, and Morales was not badly injured, police said.

He climbed back onto the platform himself, and authorities brought him to Woodhull Hospital in stable condition, cops added.

Police are still searching for the suspect, who ran away shortly afterward.