Greg the Leg will reunite with John Fassel in Dallas.
The move for Zuerlein reunites the 32-year-old with John Fassel, his special-teams coach with the Rams who was hired by Dallas in January. NFL Network was the first to report the agreement.
The Cowboys had already re-signed Kai Forbath to a one-year deal this offseason. Forbath started the final three games last season, going 10-for-10 on his attempts after the Cowboys cut Brett Maher, who missed 10 attempts in 13 games.
Zuerlein has converted 201 of 245 field goal attempts in the regular season (82%) and is 264-of- 270 on extra-point attempts since being selected by the Rams in the sixth round of the 2012 NFL draft.