Match ends, Hamilton Academical 0, Celtic 3.
Stuart Armstrong scored a stunning goal as Celtic made light of playing with 10 men for most of the second half to earn their 13th Premiership win in a row.
Leigh Griffiths raced onto a Callum McGregor pass to shoot beyond Gary Woods shortly before the interval.
Two minutes into the second half, McGregor was booked for a second time for a high challenge on Scott McMann.
Armstrong then found the top corner with a thunderous strike, with Moussa Dembele stroking in the third goal.
With closest challengers Rangers also winning, Celtic's lead remains 14 points.
Just as a rainbow appeared over New Douglas Park in the fourth minute during a break from the effects of Storm Barbara, the visitors almost broke the deadlock.
Erik Sviatchenko rose to head a Griffiths corner but was denied by a terrific clearance from Rakish Bingham. The Hamilton striker stretched high enough to head the Celtic defender's effort onto the crossbar before the ball was knocked to safety.
Griffiths provided another opportunity from his next delivery from a corner. This time it hit the shoulder of Massimo Donati at the front post, with Woods making a fine stop low to his left and bravely ensuring Scott Brown's follow-up was not converted.
Bingham was inches away from connecting with an Ali Crawford cross from the right, and Dougie Imrie blasted a strike from the edge of the penalty area straight at Craig Gordon as Accies threatened.
Cristian Gamboa was fortunate not to concede a penalty as he rashly challenged Imrie in the act of shooting. But the Celtic full-back showed better composure at the other end as he fired a 30-yard strike only inches wide.
Griffiths would only play 45 minutes because of a calf injury, but that was enough to make an impact with his 13th goal of the season four minutes before the interval.
Georgios Sarris mis-kicked as he tried to intercept McGregor's pass, and Griffiths latched on to it 18 yards out before dispatching a shot into the bottom right-hand corner of the net.
McGregor was on the park for only marginally more time than Griffiths as he was sent off by referee Willie Collum. Having been booked for pulling back an opponent in the first half, he was shown a second yellow card for a high challenge.
Any thoughts Celtic being reduced to 10 men would have an adverse effect were wiped out when Armstrong increased their lead seven minutes later. The midfielder claimed his seventh goal of the season with a terrific strike from 25 yards.
Eamonn Brophy had two chances to get Accies back in the game but the substitute failed to take them.
And, with six minutes remaining, Dembele scored his 18th goal of the campaign by side-footing fellow substitute James Forrest's cutback from the left beyond Woods.
Brendan Rodgers' dislike for artificial pitches was well documented this week but the Celtic manager will be happy his side left Lanarkshire with their domestic unbeaten record increased to 22 games. Accies have now gone nine games without a win.
- 21DonatiBooked at 50mins
- 4DevlinBooked at 39mins
- 23McMannBooked at 35mins
- 10RedmondSubstituted forBrophyat 55'minutes
- 15BinghamSubstituted forD'Acolat 73'minutes
- 27RobertsSubstituted forBittonat 50'minutes
- 42McGregorBooked at 47mins
- 11SinclairSubstituted forForrestat 76'minutes
- 9GriffithsSubstituted forDembeleat 45'minutes
- 2K Touré
- 24de Vries
- William Collum
- Shots on Target
Second Half ends, Hamilton Academical 0, Celtic 3.
Attempt missed. James Forrest (Celtic) left footed shot from the centre of the box misses to the right.
Attempt missed. Massimo Donati (Hamilton Academical) right footed shot from outside the box is too high.
Goal! Hamilton Academical 0, Celtic 3. Moussa Dembele (Celtic) right footed shot from the centre of the box to the bottom right corner. Assisted by James Forrest.
Hand ball by Moussa Dembele (Celtic).
Attempt saved. Eamonn Brophy (Hamilton Academical) right footed shot from the centre of the box is saved in the centre of the goal.
Corner, Celtic. Conceded by Gary Woods.
Foul by Alejandro D'Acol (Hamilton Academical).
Mikael Lustig (Celtic) wins a free kick in the attacking half.
Substitution, Celtic. James Forrest replaces Scott Sinclair.
Attempt missed. Eamonn Brophy (Hamilton Academical) header from very close range is just a bit too high following a set piece situation.
Dougie Imrie (Hamilton Academical) wins a free kick on the left wing.
Foul by Cristian Gamboa (Celtic).
Substitution, Hamilton Academical. Alejandro D'Acol replaces Rakish Bingham.
Massimo Donati (Hamilton Academical) wins a free kick in the defensive half.
Foul by Scott Brown (Celtic).
Corner, Hamilton Academical. Conceded by Emilio Izaguirre.
Attempt saved. Moussa Dembele (Celtic) right footed shot from outside the box is saved in the top centre of the goal.
Corner, Hamilton Academical. Conceded by Craig Gordon.