He was passed by McLaren's Lewis Hamilton on the final lap at Brazil's Interlagos circuit, which promoted Hamilton to fifth, enough for the Englishman to claim the drivers' championship.
Jarno Trulli ran off the circuit, Hamilton passed him and then allowed the Toyota man to re-pass him.
Hamilton left the Sepang International Circuit without commenting on the decision.
Hamilton said he found the new circuit challenging, but admitted he was amazed by the venue.
He was backed by McLaren team boss Martin Whitmarsh, whose drivers Jenson Button and Lewis Hamilton both had tire troubles on the Bahrain International Circuit.
Kubica, who suffered a high-speed crash at the Circuit Gilles Villeneuve last year, came closest to toppling Hamilton as he clocked 1:18.498 with just seconds left.
Vettel concurred with both Hamilton and Button on how enjoyable it was to race at the Gilles Villeneuve circuit.
Two-time world champion Fernando Alonso finished fourth for Renault, just ahead of Hamilton, who had to nurse home his soft tires on the testing Hungaroring circuit after being forced to run an extended third stint.
"It's a very demanding circuit, the kind of place that punishes any mistakes hard, " stated Hamilton.
The 19th and final race of the season at Abu Dhabi's Yas Marina circuit will see either Alonso, Webber, Vettel or McLaren's Lewis Hamilton crowned champion after an epic championship race.
LONDON, England (CNN) -- Lewis Hamilton led from start to finish to win the Singapore Grand Prix at the Marina Bay Street Circuit Sunday.
Hamilton will continue to run with an aerodynamic package suited to Monza's low-downforce circuit, which includes a rear wing with a lower angle of attack - approximately 40 degrees compared to Button's conventional rear wing, which is raised at around 70 degrees.
He pushed his Red Bull round the visually stunning Yas Marina circuit, brilliantly lit up by floodlights as darkness finally fell on the twilight session, and beat Hamilton's benchmark by 0.141 seconds.
BBC: Sebastian Vettel beats Lewis Hamilton to Abu Dhabi pole
Britain's Hamilton was claiming the eighth pole position of his remarkable career and again showed his liking for the Gilles Villeneuve Circuit where he put on a peerless performance to win last year's race.
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