Derek Riordan scored the opening goal four minutes before half-time with a splendid curling strike.
Edwin De Graaf bulleted a drive over from 25 yards and Derek Riordan sent a free-kick into the side-netting.
Hibs' Derek Riordan had a penalty saved by Ryan Esson before driving home with the last kick of the ball.
Derek Riordan had a rare glimpse of goal for Hibs, but blazed high and wide from the edge of the box.
Hibs' Derek Riordan and Boyd both shot wide in the opening stages before Rangers took the lead in the eighth minute.
Hibernian named an unchanged eleven with Derek Riordan continuing to partner Sodje in attack, with Graham Stack keeping his place in goal.
Former Sunderland striker Anthony Stokes broke the deadlock in 41 minutes when he latched on to Derek Riordan's through ball and slotted home.
Derek Riordan had been made captain, but the forward was sent off in the dying seconds for a reckless challenge on Rudi Skacel.
"You'll be talking about Derek Riordan's goal for a long, long time even though he was on the losing side, " added the manager.
The home side then went further ahead when Mohamadou Sissoko impeded Derek Riordan just inside the box and referee Steve Conroy pointed to the spot.
Hibs were unchanged once more after Derek Riordan recovered from sickness as they sought to extend their unbeaten run in the SPL to 12 games.
Derek Riordan was denied by the Celtic crossbar in the 69th minute, but the hosts failed to find the target and Celtic secured the points.
Derek Riordan spurned a couple of decent chances for the visitors.
The home team did fashion a few late chances, with Vennegoor of Hesselink heading over and David Weir making a vital block to deny Derek Riordan.
But he had little to do in the opening stages as the visitors began brightly, with both Paul Hartley and Derek Riordan going close with strikes from distance.
Hibs' striker Derek Riordan was named young player of the year after a tremendous season in which he has helped his team to the brink of Uefa Cup qualification.
BBC: SPORT | Football | Scottish Premier | Hartson and Ricksen share award
Derek Riordan was a surprise absentee for Hibs, whose manager, Colin Calderwood, admitted on Friday that re-signing talks would not take place with the Scotland forward until the summer.
The expensive hiring of former Real Madrid midfielder Thomas Gravesen has provided the snipers with further ammunition, while Derek Riordan has been his misfit pal in the dugout or stand.
BBC: SPORT | Football | My Club | Celtic | Celtic's title relief
It was a bright opening spell, with Hibs carving out the first opening when Derek Riordan was presented with the chance of a shot, but his effort was comfortably off-target.
Derek Riordan levelled on the stroke of half time but, in a second 45 minutes packed full of goal-scoring chances for both sides, Vernon was the only man to find the net.
Goalkeeper Jakub Divis made his Hibernian debut alongside David Stephens, Lewis Stevenson and Ricardo Vaz Te in a much-changed line-up, with Mark Brown, Liam Miller, Derek Riordan and David Wotherspoon all dropping to the bench.
Taouil also sent a drive whizzing past the right-hand post and Hibs' Derek Riordan had the last word in stoppage time, meeting a clearance to the edge of the penalty box and volleying it agonisingly on to the crossbar.
Rangers are the latest club to be linked with Hibs' top scorer Derek Riordan, but the under-fire boss, whose team have not scored this year, would prefer the player to stay at the club beyond the end of the season.
John Rankin, Colin Nish and Dean Shiels had paid for last weekend's defeat at home to Kilmarnock by being dropped to Hibs' bench, while captain Rob Jones was missing through injury as Derek Riordan, Lewis Stevenson and Steven Thicot were recalled.
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