Requiring all four points to squeeze into the top-five on net run rate, Glenn Maxwell's side fell at the first hurdle when they conceded the 'bash boost' point at the halfway point of the Sixers chase.
Maxwell's 66 off 41 balls had propelled the Stars to a competitive score, but their total of just 72 after 10 overs meant the Sixers could easily chase the bonus point and with it, first place on the BBL table.
Ben Dwarshuis (3-27) was the pick of the Sixers bowlers while James Vince (46 off 32) and skipper Moises Henriques (38 off 29) were instrumental in sealing the crucial extra point on offer.