Rangers head coach Danny Rohl saw his winning start to life in the William Hill Premiership come to a halt as Falkirk secured their second point against them this season.
The Bairns held Rangers to a goalless draw at Ibrox with Scott Bain making a brilliant one-handed stop from Djeidi Gassama midway through the second half.
The hosts struggled to put the former Celtic goalkeeper under serious pressure though and a four-match winning run in the league ended.
The result leaves Rangers in fourth place and nine points adrift of leaders Hearts, while Falkirk have now lost just once in eight matches.
The first game in that run was a home draw with Rangers which cost Russell Martin his job amid supporter unrest and the home fans again showed their displeasure as boos met the full-time whistle.
Their biggest cheer of the day came when former Rangers midfielder Scott Arfield came off the bench for the visitors.
Connor Barron forced an early save from Bain but there was otherwise very little threat of a goal for the vast majority of the first half.
Rangers struggled to create even half chances and, when they did, Thelo Aasgaard shot well over from 25 yards and Oliver Antman sent a header off target.
Falkirk appeared content to frustrate their hosts.
The action stepped up slightly in the latter stages of the half. Rangers had hopeful penalty appeals rejected when Bojan Miovski tangled with Falkirk defender Liam Henderson.
Nedim Bajrami and Barron shot just wide of Bain’s goal from the edge of the box and Calvin Miller had a shot blocked at the other end.
The action continued to improve after the interval and it was largely down to Falkirk taking a more ambitious approach.
There were chances at either end. Bain foiled Miovski from close range and Aasgaard headed off target from an excellent chance.
Jack Butland was off his line quickly at the other end to snuff out the suggestion of a chance for Calvin Miller, who soon went off with an eye injury.
Falkirk brought on Arfield and Alfredo Agyeman and the latter squandered two chances to shoot after slack play from Butland and Nasser Djiga.
Rangers’ best chance came from Falkirk taking chances in attack. Nico Raskin threaded the ball through for substitute Gassama, who cut inside a defender and seemed destined to score only for Bain to save.
Bain also made a comfortable save from James Tavernier’s volley and both Agyeman and Ethan Williams forced stops from Butland.
Falkirk forced some late pressure but could not find a winner.
