The FBI is investigating allegations that a Long Island police chief may have abused a man suspected of stealing his gun belt, ammunition and handcuffs from his vehicle, law-enforcement sources said yesterday.

Suffolk County Chief of Police James Burke reportedly confronted one of two suspects arrested in December on theft charges stemming from the break-in of Burke’s vehicle, according to Newsday.

Christopher Loeb, 26, of Smithtown, and Gabriel Miguelez, 36, of Lindenhurst, were accused of stealing the items from his SUV last December.