The rings appear to be suffering from a hangover from his Old Firm victory midweek explosive in the first half with a low nominal yield up a superb shot from 20 yards of Commons gave them the lead in the 42 minute.
The Scotland International was given a second just seven minutes after the break when he took a pass from David Elebert slack back to slam home from inside the box.
The win piles the pressure on rivals Rangers, who are away from St Mirren on Sunday.
Celtic made two changes from their victory over Rangers week as Anthony Stokes replaced the injured Gary Hooper while Forster Fraser returned from suspension.
Neil Lennon, who was from the first of their four-match touchline ban, as soon as he took his seat in the gallery when Celtic had carved out their first opportunity. Scott Brown sent a dangerous ball in the box and Simon Mensing had almost cut his removal attempt in his own net.
However Celtic has been able to build on the pressure of his principle and Hamilton, who was about to take the initiative when Elebert inches from corner of Flavio Paixao on post closely.
Just when it looked like bottom of the SPL would rupture in terms levels that Celtic took the initiative through a stunning strike from Commons.
Ki Sung-Yeung corner headed to Brown at the edge of the box and the Celtic Captain dismissed the ball to the Scotland International, whose left foot mitad-voley drifted in the top corner from 20 yards.
The Rings nearly added to their advantage a minute later but Tomas Cerny had instinctively kept heading downward Samaras with their feet.
The common was the greater threat of Celtic onwards and Dougie Imrie did well to block his fair shot after the break that ran in the table of Hamilton.
However the former Derby man has no time to wait for his second of the game when it was equipped with a goal of Hamilton in the 53 minute. After dealing with the threat of Samaras down left elebert causally shot a back pass through his own table in the common route that had curled in the upper part of 15 yards.
Hamilton had luck be reduced to ten men in the 70th minute when Gary McDonald seem to push Beram Kayal in the face in an incident was not the ball lost by the arbitrator Stevie O’Reilly.
Commons left to a standing ovation of foot with six minutes remaining to be replaced by Paddy McCourt as the rings strolled to victory.
Elsewhere, Inverness ran out winners on Motherwell and St johnstone held Hibernian 1-1 draw at McDiarmid Park 3-0.
At the battle of third and fourth at Tynecastle 10-man Kilmarnock reduced the gap with hearts with a 2-0 victory.
David Silva scored the first and Alexei Eremenko added a second before you see the red, for his part in an altercation in the ball with Marius Zaliukas.
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