Neilson tried to lob Esson after 78 minutes but the full-back's volley went wide.
The former Caley Thistle forward blasted a 30-yard shot into the top corner, leaving Ryan Esson helpless.
The home side battled gamely but had goalkeeper Ryan Esson to thank for keeping the score respectable.
Esson was on hand again to stop Sammon's effort after the striker was found by left-back Gordon.
Mallo saved a free-kick effort from Dougie Imrie before Finnigan saw a tame effort saved by Esson.
Moments later Hamilton's Andy Graham flicked a header at the Inverness goal but Esson made an easy save.
Esson prevented Hamilton from doubling their lead when he tipped a Marco Paixao curling shot past his post.
The Falkirk front two began to cause the home rearguard problems, but Higdon's effort was saved by Esson.
Hibs' Derek Riordan had a penalty saved by Ryan Esson before driving home with the last kick of the ball.
The impressive Gordon galloped forward and picked out his team-mate with a great cross that was firmly headed past Esson.
The striker cut inside Hogg and opted for a powerful shot that was blocked by the feet of goalkeeper Ryan Esson.
But Esson was busy again on the hour when Eremenko danced through the home defence to set up a shooting opportunity.
Any hopes of a comeback were extinguished when Bryson's run into the penalty box was brought to a crude halt by Esson.
Stewart increased Falkirk's lead when he latched on to Michael Higdon's flick-on from a long ball and slammed the ball past Esson.
Ledley had a header saved by Esson early in the second half as Inverness were again caught napping from a Commons corner.
Further chances fell to Taouil, Bryson and Sammon before the interval, but the Highlanders held on, with Tokley and Esson making vital interventions.
Derek Young's replacement Paton then headed into the arms of Esson, who immediately sent the ball upfield to put the Dons under pressure.
Finnigan won a penalty for his side following a challenge by Esson, who was promptly shown a red card by referee Calum Murray.
Maloney broke the deadlock after 29 minutes when he collected a superb pass from Shunsuke Nakamura to fire home past Inverness goalkeeper Ryan Esson.
The Japanese international's clever diagonal found Maloney. and his low effort evaded the despairing grasp of Esson and found the corner of the net.
Caley Thistle manager Terry Butcher had brought full-back Kevin McCann and keeper Esson back into the side but no goalie would have saved Imrie's strike.
Moments later, Inverness goalkeeper Esson produced an acrobatic diving save to push wide a 30-yard free-kick from Eremenko, with Bryson volleying just wide soon after.
Ledley, who had doubled his goal tally for the season, was denied a hat-trick when Esson pushed away his fierce drive in the closing stages.
Goalkeeper Ryan Esson was called into action after 50 seconds when he got down well to block from Bryson with the midfielder clean through on goal.
Esson prevented Hamilton inflicting further damage with a save from his feet in 74th minute following a sweet moving involving Jack Ross and Wyness before Hamilton shot.
Kirkpatrick then showed great skill to turn past Kevin McCann and bear down on goal, drawing a good reaction save from Ryan Esson with his powerful shot.
After 16 minutes, St Mirren took the lead when Dorman picked up on a headed ball from Wyness and ran into the box before coolly slotting under Esson.
Mackie chased a Considine pass and brushed off the challenge of Grant Munro to attempt a lob over Esson but the effort trickled wide of the far post.
Andy Dorman gave the home side the lead in the 17th minute after he picked up a through ball from Dennis Wyness and slotted under the body of Ryan Esson.
Falkirk took the lead when Higdon spun brilliantly at the edge of the box following Steve Lovell's header and his low shot rifled past Ryan Esson in the Inverness goal.
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