The Australian-born Hornsey won the Ray Guy Award for top college punter in 2013. He was with the Cowboys for two weeks in training camp last season.
Hornsey provides insurance for the Cowboys. 2014 punter Chris Jones is a restricted free agent.
Dallas waived these players with injury designations: tight end Jordan Najvar, safety Matt Johnson, cornerbacks Justin Green and Johnny Thomas, and linebacker DeVonte Holloman. Defensive end Ben Gardner was placed on IR, and defensive tackle Amobi Okoye was put on the Reserve/Non-Football Injury list.