The Browns have signed wide receiver Davone Bess to a three-year contract extension, the team announced today.

Bess, 27, had one year left his existing contract, so he is signed through 2016. Terms of the deal were not immediately disclosed.

Bess passed his physical with the Browns this morning to make their trade with the Miami Dolphins official. The Browns traded picks in the fourth (No. 104) and fifth (No. 164) rounds in exchange for Bess and selections in the fourth (No. 111) and seventh (No. 217) rounds.

The 5-foot-10, 193-pound Bess caught 61 passes for 778 yards and one touchdown in 13 starts this past season, missing the last three games because of a back injury. In 2010, Bess established career highs in catches (79), receiving yards (820) and touchdowns (five). He has never had fewer than 50 catches in a season.

Bess has accounted for 130 third-down receptions, second-most in the NFL during the past five years, trailing only the Atlanta Falcons’ Roddy White (146), according to the Browns. In the past four seasons, 42 percent of Bess’ receptions have come on third down, the highest rate among all NFL players with at least 100 catches.

“You’re always trying to add players to your team you think could help, and certainly Bess we think can help,” Browns General Manager Mike Lombardi said Friday. “He’s played in the league, and I think on the most critical down, he’s been able to convert. So it was a good opportunity for us.”