Ratliff, who was second on the team with seven sacks and fourth in quarterback pressures with 33, will have surgery on both elbows.
Team officials believe the surgeries will not have a major impact on whether the players return in time for organized team workouts in the spring.
Ware needs bone spurs removed from a troublesome left foot that bothered him for most of the regular season.
It was an injury-filled season for Ware, who battled foot, neck and wrist problems. However, Ware managed to lead the team in sacks (11) and quarterback pressures (45).