The perpetrator was able to escape, and the police are looking for surveillance footage, car dashboard camera videos, and photographs that could lead to their identification.
The arsonist was recorded by security cameras spraying a liquid near the door and setting it alight, the US attorney's office said.
This sabotage operation is not the first one carried out at Iranian nuclear facilities.
The arsonist, a man in his 60s, allegedly made antisemitic comments during his arrest.
The 60-year-old man arrested on suspicion of arson near the scene of the midday Hackney borough blaze reportedly made "a number of threatening comments, some of which were allegedly antisemitic."
Matthew Karelefsky, 46, was convicted last month of charges including attempted murder, arson and assault for the crime in the Brooklyn neighborhood of Midwood.
Las Olas Chabad seeks to raise a million dollars to rebuild the center.