The hosts were held scoreless in the second half to go down 16-7.
The Force were playing their first game since news broke that they and the Melbourne Rebels are facing the axe as the Super Rugby competition is reduced to 15 teams in 2018.
Rugby WA has stood firm in fighting for the Force's survival.
The Perth public turned out to show their support with 14,089 fans attending in the best crowd figure of the season at nib Stadium.
The Force's favourite son Matt Hodgson scored a trademark bullocking try in the first half to bring scores level to the crowd's delight.
It was a well-worked lineout play by the Force who then got going in a rolling maul, before Hodgson broke away to score the five-pointer.
However, the Kiwi powerhouse Chiefs scored the only points in the second half - with three penalty conversions to Aaron Cruden.
The Chiefs' only try came courtesy of Liam Messam in the eighth minute and they remain in third spot behind the Hurricanes in the New Zealand conference after seven wins from eight games.
The Force remain in third position behind the Brumbies and the Reds in the Australian conference.
Their cause wasn't helped with Wallabies back Dane Haylett-Petty leaving the field after 21 minutes with a suspected injury.