Martin, an Indianapolis native, will be out for the Cowboys' road game against the Colts in what will be his first missed game at any level, including high school and his college career at Notre Dame.
He will be replaced in the starting lineup by Connor Williams.
Martin suffered the knee injury last Sunday against the Eagles, and doctors determined that he did not need surgery, but he does need rest to return later this season. Martin wanted to try to play, especially since the game is in his hometown, but the Cowboys said they are trying to take the smart approach.
Martin played every game during his career at Bishop Chatard High School in Indianapolis and did the same at Notre Dame and in his first four years with the Cowboys.