Two people were chased inside Chick-fil-A on Boylston Street around 5:27 p.m. by a man armed with a knife, officials said.

The knife-wielding attacker shot and killed by an off-duty Boston police officer after refusing to back down from terrorizing Chick-fil-A patrons in the Back Bay this weekend has been identified.

Police on Monday identified the person who was fatally shot by an off-duty police officer inside a Chick-fil-A restaurant in the Back Bay as a 32-year-old Roslindale man.