Peter Houston goaded his vanquished rival Alan Stubbs after Falkirk stunned Hibernian to steal a 1-0 Scottish Cup semi-final triumph at Hampden . Houston claimed that Stubbs should be examining tactical failings that led to the downfall of Hibs rather than highlighting Falkirk ’ s fortune on the day . The broadside was in response to Stubbs insisting it ’ s Hibs who fully deserve to be waiting for Inverness Caledonian Thistle or Celtic in next month ’ s showpiece at the national stadium after bossing the match . Craig Sibbald finally breaks the deadlock for Falkirk with a stooping header that left Hibernian hearts broken . Sibbald rises above his marker to direct his header towards goal in the heat of Hampden Park . Sibbald salutes the travelling Falkirk supporters after scoring the decisive goal in the 74th minute . The Falkirk players celebrate taking the lead against Hibernian in the Scottish Cup semi-final at Hampden Park . Hibernian ( 3-5-2 ) : Oxley ; Forster , Hanlon , Fontaine ; McGeouch , Allan , Robertson ( Dja Djedje 80 ) , Fyvie , Stevenson ; El Alagui , Cummings ( Malonga 87 ) Subs not used : Craig , Stanton , Handling , Cerny , Dunsmore . Booked : Forster , Allan . Falkirk ( 4-3-3 ) : MacDonald ; Duffie , McCracken , Grant , Leahy ; Taiwo , Vaulks , Sibbald , Smith ; ( Bia Bi 45 ) , Morgan ( Muirhead 77 ) , Alston . Subs not used : Bowman , Dick , Cooper , Blair , O'Hara . Scorer : Sibbald 74 . Booked : Taiwo . Referee : John Beaton . However , the Easter Road side failed to convert dominance into a goal and Craig Sibbald ’ s 75th-minute header settled the tie . Houston pinpointed that all six of his team ’ s goals against Hibs this season — in three wins and a draw — had come from crosses . He said : ‘ After every game we ’ ve played against Hibs this season , they have deserved to win according to Alan . ‘ What he should maybe think about is where we are getting our goals from — crosses into their box . Deal with it . ‘ As a coach , I ’ d be concerning myself with losing goals the way Hibs lose them to us . ‘ Look at the videos . They can ’ t deal with crosses into the box , so that ’ s his problem , not mine . ‘ Of course , Hibs were unfortunate not to win . I ’ m straight up on that . They hit the crossbar and the post . ‘ But rather than say only one team deserved to win , he should think about how the team beat you . Then look back at the other times . Hibernian manager Alan Stubbs ( left ) and Falkirk manager Peter Houston shake hands before the match . The Hibernian supporters ca n't quite believe their luck as Fraser Fyvie and Scott Allan both hit the woodwork . Lewis Stevenson misses from close range for Hibernian on one of those afternoon 's for Alan Stubbs ' side . There was n't much too cheer about for Hibernian fans in a sparse Hampden Park crowd on Saturday . ‘ They were the better football side today but don ’ t disrespect us by saying we didn ’ t deserve to win — we put a lot into the match defensively . ‘ The most important thing is that we scored the goal to win the match. ’ Houston ’ s blast will add extra spice to the fifth meeting of the season — on May 2 when the race for the Championship play-off places goes down to the wire . And Stubbs has implored his players to overcome the agony of yesterday ’ s smash-and-grab defeat by winning a spot in the top flight . ‘ This will make us stronger , it has to . We have to get over it . It ’ s my job to pick the players up and they need to pick themselves up because there is still plenty to play for . ‘ My reaction is one of disbelief that we haven ’ t come through that game . We can ’ t create the amount of chances we created and not score . ‘ We controlled the entire game and that makes it worse . But that ’ s semi-finals and that can happen . I just wish we had some of the luck the opposition had . ’
Craig Sibbald 's 74th-minute header is enough to send Falkirk through . Fraser Fyvie and Scott Allan both hit the post for Hibs with the score at 0-0 . Falkirk will play either Inverness Caledonian Thistle or Hibernian on May 30 .