Peter Joseph Brady Sr. (born May 24, 1962) is an American labor leader and Democratic Party politician who served as a member of the Vermont House of Representatives. In May 1995, following state representative Timothy R. Corcoran's resignation to become Bennington town clerk, Governor Howard Dean appointed Brady, then a vice president of the Vermont Labor Council, to serve the remainder of Corcoran's term. He won election to a full term in 1996 alongside Republican Mary A. Morrissey.