Furuhashi benefitted from a good offside name that went his way as the Japan forward transformed Anthony Ralston's cross at Parkhead.
Referee Bobby Madden allowed the first 1/2 purpose to stand although it regarded Furuhashi may have been marginally offside.
The victory took Celtic lower back to 4 points at the back of their Glasgow competitors Rangers after the champions gained 1-0 at Hibernian 24 hours in advance.
Hearts had an early permit-off after David Turnbull robbed Cammy Devlin.
Craig Gordon spilled Jota's resulting shot but James Forrest stabbed the unfastened ball towards the publish from close variety.
Gordon tipped Callum McGregor's deflected attempt extensive, but Celtic's strain paid off in dubious fashion in the thirty third minute.
Ralston drilled in a pass which Furuhashi grew to become domestic at the close to submit and Hearts' offside appeals had been in useless.
Hearts defender Stephen Kingsley had a super danger whilst he ran untracked to the near post to satisfy Barrie McKay's corner however his header flashed beyond the a long way post.
McKay had an attempt stored and installation each Liam Boyce and Craig Halkett for chances, the former fluffing his first opportunity and the defender heading huge.
