A woman was caught on video tearing down a poster outside an Upper East Side synagogue — and police are investigating the act as a hate crime.

A surveillance clip released by cops late Wednesday shows the woman walking up to the Chabad Israel Center at East 92nd Street and Second Avenue around 4:30 a.m. Saturday and raising both arms into the air.

Then, she tore down the poster, which displayed the prayer service schedule at the synagogue, cops said.

The woman — shown wearing a black-and-white jacket, black face mask, black pants and black backpack — remained at large Thursday, and the NYPD’s Hate Crime Task Force is probing the incident.