Barrett, who played four tests for the All Blacks at lock last year, scored a try and impressed with his work rate on attack and defence in the No. 6 jersey as the Crusaders won their fifth successive game.
Digby Ioane, Matt Todd, Luke Romano, Codie Taylor, David Havili and Ben Funnell also crossed for the home side with flyhalf Mitch Hunt slotting four conversions, while replacement Marty McKenzie added another.
RNZ reports wingers Alex Newsome and Chance Peni crossed for the Force with flyhalf Jonno Lance converting both tries and adding a penalty.