Celtic have still not conceded a goal in 2019 after easing aside Hibernian to maintain their six-point lead at the top of the Scottish Premiership.
Ryan Christie's composed first-half touch-and-finish gave them the lead.
Christie then played in Oliver Burke to slash in a shot that struck Darren McGregor and looped over Ofir Marciano.
The victory was a sixth in a row in all competitions for Brendan Rodgers' side, stretching back to 29 December, when they lost to Rangers at Ibrox.
One disappointment for an injury-ravaged Celtic could be an injury to Emilio Izaguirre, who was carried off on a stretcher after a challenge with Darnell Johnson.
Managerless Hibs, meanwhile, slip to eighth place after a fourth defeat in five Premiership matches. The Easter Road side have now won just one of their last eight league games.
Composed Celtic not tested
Given their recent record of just one defeat in 10, it would have been a major upset had Celtic stumbled, especially given Hibs' predicament with reluctant caretaker manager Eddie May calling the shots.
The league leaders looked assured throughout and were barely troubled by the Easter Road outfit, who worked hard but never really threatened.
Calum McGregor, Scott Sinclair and Burke all came close before the impressive Jeremy Toljan collected a wonderful Timothy Weah pass and cut back for Christie to finish on the angle.
Celtic's biggest problem could have been their own complacency and Mark Milligan almost capitalised when given a clear view on goal, but his effort was well wide of the target.
However there was a composure and class about Celtic. Scott Brown bossed the midfield, although the captain may have been fortunate to see only a yellow card for a nasty looking challenge on Milligan.
Celtic's second goal had a fair slice of fortune as Burke's shot took a wicked deflection, which deceived Marciano.
With the Europa League meeting with Valencia next week, the last thing Rodgers would have wanted to see was the sight of Izaguirre being carried off. The Honduran International in obvious pain.
There was never any real threat of Hibs battling their way back into the game as Celtic cruised to another three points to preserve their lead at the top of the table.
'Inevitable win for Rodgers' side' - analysis
The scoreline may show a 2-0 victory but the gap between the two sides was the length of the M8 motorway. There was an inevitability about the outcome from the opening whistle.
Dedryck Boyata cruised through the game on his return from injury, the energy of Calum McGregor caught the eye, and in Weah and Christie Celtic have two of the most exciting players in the country.
Hibernian lacked any spark, and although Marc McNulty showed a few nice touches when coming off the bench, much more will be required if he is to have a positive impact for the season run-in.
On this evidence, a top-six place looks a forlorn hope, and whenever a new manager comes in he will have a major job on his hands in trying to lift the spirits of both the players and fans.
'Izaguirre got away with one' - reaction
Celtic manager Brendan Rodgers: "We managed the game very well. Just once or twice we were a bit loose with our passing and giving it away under pressure. But I thought we controlled the game.
"I think Emilio [Izaguirre] got away with that one. A very clumsy tackle and I think it scared him a wee bit but the medical team are telling me that they think he's probably just got away with it."
Hibs caretaker head coach Eddie May: "We can play better. We could have defended the two goals we lost a bit better but Celtic are a top-class team.
"They really stretch you, they test you physically and tactically. We tried to press from the front and had some success early on but Celtic imposed their style on us. We need to be braver on the ball."
- 20BoyataSubstituted forBittonat 74'minutes
- 3IzaguirreSubstituted forHayesat 83'minutes
- 8BrownBooked at 46mins
- 11SinclairSubstituted forJohnstonat 73'minutes
- 2GraySubstituted forJohnsonat 65'minutesBooked at 80mins
- 5MilliganBooked at 37mins
- 13GauldSubstituted forMallanat 59'minutes
- 32ShawSubstituted forMcNultyat 45'minutes
- 22KamberiBooked at 59mins
- Craig Thomson
- Shots on Target
Match ends, Celtic 2, Hibernian 0.
Second Half ends, Celtic 2, Hibernian 0.
Attempt missed. Oliver Burke (Celtic) right footed shot from a difficult angle on the right misses to the right.
Timothy Weah (Celtic) wins a free kick in the defensive half.
Foul by Lewis Stevenson (Hibernian).
Attempt missed. Darren McGregor (Hibernian) right footed shot from outside the box misses to the left.
Corner, Hibernian. Conceded by Nir Bitton.
Attempt blocked. Marc McNulty (Hibernian) right footed shot from outside the box is blocked.
Foul by Jeremy Toljan (Celtic).
Lewis Stevenson (Hibernian) wins a free kick on the right wing.
Substitution, Celtic. Jonny Hayes replaces Emilio Izaguirre because of an injury.
Delay in match Emilio Izaguirre (Celtic) because of an injury.
Darnell Johnson (Hibernian) is shown the yellow card for a bad foul.
Emilio Izaguirre (Celtic) wins a free kick in the defensive half.
Foul by Darnell Johnson (Hibernian).
Attempt missed. Michael Johnston (Celtic) right footed shot from outside the box is close, but misses to the left.
Michael Johnston (Celtic) wins a free kick on the right wing.
Foul by Darnell Johnson (Hibernian).
Attempt blocked. Oliver Burke (Celtic) right footed shot from the centre of the box is blocked.
Substitution, Celtic. Nir Bitton replaces Dedryck Boyata.
Substitution, Celtic. Michael Johnston replaces Scott Sinclair.
Attempt missed. Scott Sinclair (Celtic) right footed shot from the left side of the box is too high.
Scott Brown (Celtic) wins a free kick on the right wing.
Foul by Stephen Mallan (Hibernian).
Attempt missed. Marc McNulty (Hibernian) right footed shot from the centre of the box is high and wide to the left.
Substitution, Hibernian. Darnell Johnson replaces David Gray because of an injury.
Goal! Celtic 2, Hibernian 0. Oliver Burke (Celtic) right footed shot from the right side of the box to the bottom left corner. Assisted by Ryan Christie.
Attempt saved. Dedryck Boyata (Celtic) header from very close range is saved in the bottom right corner.
Substitution, Hibernian. Stephen Mallan replaces Ryan Gauld.
Florian Kamberi (Hibernian) is shown the yellow card for a bad foul.
Timothy Weah (Celtic) wins a free kick in the attacking half.
Foul by Florian Kamberi (Hibernian).
Corner, Celtic. Conceded by Mark Milligan.
Attempt saved. Timothy Weah (Celtic) right footed shot from outside the box is saved in the centre of the goal.
Attempt saved. Oliver Burke (Celtic) right footed shot from the left side of the six yard box is saved in the bottom left corner.
Corner, Celtic. Conceded by Ofir Marciano.
Attempt saved. Ryan Christie (Celtic) left footed shot from outside the box is saved in the centre of the goal.
Hand ball by Scott Sinclair (Celtic).
Attempt missed. Scott Sinclair (Celtic) right footed shot from the centre of the box is close, but misses to the right.
Jozo Simunovic (Celtic) wins a free kick in the attacking half.