McCarthy said running backs coach Jerry Fontenot will now mentor the team's tight ends and Ben McAdoo, who had been in charge of the tight ends, will be his quarterbacks coach.
McCarthy also added Alex Van Pelt to his staff as the running backs coach.
Joel Hilgenberg was named assistant offensive line coach and John Rushing is now an offensive assistant for special teams.
Fontenot and McAdoo have been on the Packers' staff the past six seasons.
Van Pelt, a former Buffalo quarterback, was Tampa Bay's quarterbacks coach the past two years and was on the Bills' staff for four seasons before that.