Australia's bowlers laid the foundation for their victory after routing Sri Lanka for 195 in 40.2 overs in the final match of the series.
But the modest chase looked far from a cakewalk as the visitors slumped to 25 for two in the sixth over, before Warner's century helped them romp home with seven overs to spare.
Warner found an able ally in George Bailey and the duo added 132 runs as the world champions went on to exact a modicum of revenge after being whitewashed in the preceding three-match test series.
