Born in Pekin, Illinois, he began his radio career in 1963, as a disc jockey at WIRL in Peoria.
Since 1973, he has been a regular on the Imus in the Morning radio show, where he voices dozens of characters, including General Patton, Andy Rooney and and Ross Perot). Kenney was also the voice of cartoon characters Count Chocula and Sonny the Bird for Coco Puffs.
He was host of the television show Bowling for Dollars from 1976 to 1979.
He is married to Carol Kenney, and has three children; the eldest, Kerri Kenney, is herself an actress.