Anton Fier, (born June 20, 1956), is an American drummer, composer and bandleader. He was born in Cleveland, Ohio.

Fier was an early member of The Lounge Lizards and The Feelies. He was in The Lodge (with John Greaves), worked with Pere Ubu, was briefly in the Voidoids and founded The Golden Palominos. The 1978 Pere Ubu EP titled Datapanik in the Year Zero was dedicated to Fier.