Staples has signed a contract with the Redskins, Stephen Czarda of the team's official site reports.
Staples, an undrafted rookie out of Louisville, was waived by the Chiefs in June. He'll likely need to impress on special teams in order to make the final roster.
Staples was waived by the Chiefs on Thursday.
Staples signed with the Chiefs as an undrafted free agent back in May. The Louisville product will look to catch on with another squad in 2017.