The Redskins signed the 34-year-old free agent Tuesday. He becomes the only punter on the roster for a team that has used six different punters in regular-season games the past two years.
Bidwell spent the past six years with the Tampa Bay Buccaneers but missed the 2009 season after having surgery on his right hip. He went to the Pro Bowl in 2005 and has a career average of 42.8 yards.
Bidwell also played for the Green Bay Packers from 1999 to 2003, although he missed his entire rookie season because of testicular cancer.
Hunter Smith had a 41.3-yard average as Washington's punter last season, but leg injuries forced him to miss three games. Sam Paulescu, Glenn Pakulak and kicker Shaun Suisham filled in while Smith was hurt.
Also Tuesday, tackle Stephen Heyer was awarded $265,000 from the NFL's performance-based pay pool, which compensates players whose playing time was disproportionate to their salaries. Heyer started every game last season while making about $467,000.