The man was taken into custody Tuesday. His name was not immediately released.
Police spokesman Paul Browne says he made statements implicating himself in the attacks and had personal grievances with each targeted location.
Crude Molotov cocktails were tossed into a convenience store, two homes in Queens, one in nearby Nassau County, and an Islamic center.
He is facing arson-related charges. It’s not clear if the incidents were bias crimes, but it’s being investigated.