Rayner has played for five teams in four seasons since being picked by Indianapolis in the sixth round of the 2005 draft out of Michigan State. His best season came with Green Bay in 2006, when he made 26 of 35 field goal attempts.
Last season, he spent two games on Cincinnati's roster while regular kicker Shayne Graham was injured. Rayner made his only field goal attempt with the Bengals, a 26-yarder.
Rayner has also played for Kansas City and San Diego.
Suisham started well last year but struggled late in the season. He made 26 of 36 attempts, the worst accuracy rate among kickers with more than 10 attempts.
The Redskins also signed running back-kick returner Dominique Dorsey, who spent the last three years in the CFL. He was chosen the league's most outstanding special teams player in 2008.