FALKIRK deservedly claimed victory as weary Alloa suffered a hangover after their Ibrox heroics last week.
The Bairns, far livelier throughout, made the breakthrough after ten minutes.
Mark Docherty was penalised for a clumsy challenge on Rory Loy and Alex Cooper stepped up to curl a 20-yard free-kick into the net with the aid of a deflection off the defensive wall.
Alloa defender Ben Gordon prevented further damage with two blocks in quick succession from Loy and Cooper as Falkirk continued to control the match.
Will Vaulks then saw his header shave a post, following Cooper’s pinpoint cross, but Alloa eventually came to life and were level on the half-hour when Docherty saw his curling free kick from near the right touchline sneak in at the far post.
Alloa might have been ahead but for David McCracken’s crucial interception to prevent Liam Buchanan getting on the end of Greig Spence’s cross.
Instead, Falkirk broke upfield to reclaim the lead, Cooper releasing Loy to slot low in at the right-hand post.
Falkirk doubled their advantage after the restart when Loy played in Blair Alston, who calmly beat goalkeeper Craig McDowall.
Buchanan pulled one back from the spot – his seventh in as many games – before Kevin Cawley saw a header cleared off the line by Alston as Falkirk suffered a dose of late jitters.