The win keeps the Old Firm club hot on the heels of leaders Hearts although it was not until the closing 20 minutes that the three points were safely secured in the bank.
Nicky Law fired the opener in the 25th minute, taking advantage of some hesitant Falkirk defending.
However, the battling visitors kept the Glasgow giants at bay until Lewis Macleod added a second on 69.
Kenny Miller fed Jon Daly whose cross was firmly headed home by 20-year-old Macleod from close range.
Macleod then turned provider for Miller who steered home the youngster’s low cross from 18 yards, 15 minutes from time.
And the hosts completed the scoring in the 82nd minute when Nicky Clark had the simple task of finding the back of an empty net thanks to Lee Wallace’s assist.
Falkirk did have their moments and could have scored had David Smith and Will Vaulks not left their shooting boots at home.
Joe Shaughnessy just failed with a header as did Rory Loy but Rangers were comfortable winners in the end.