Tillakaratne Dilshan 'dilscooped' left-arm pacer Mitchell Starc for six behind the wicket-keeper at Sydney on Saturday.
Kushal Perera and Dilshan too the visitors off to a good start adding 46 runs for the opening wicket in 38 balls.
Glen Maxwell took a couple of wickets to bring Australia back into the game. However steady batting by Angelo Mathews and Lahiru Thirimanne put Sri Lanka in a comfortable position.
Earlier, David Warner remained unbeaten on 90 as Australia set a 138-run target. Electing to bat first, Australia scored 137 in their allotted 20 overs, losing three wickets.
The Ashes 2013-14
Dec 5, 2013 (05:31 IST) at Adelaide
Pakistan vs Sri Lanka in UAE, 2013-14
Dec 11, 2013 (21:30 IST) at Dubai
West Indies tour of New Zealand 2013-14
Dec 11, 2013 (03:00 IST) at Wellington
India in South Africa 2013
Dec 11, 2013 (17:00 IST) at Centurion
Dec 13, 2013 (08:00 IST) at Perth
Dec 8, 2013 at Durban
South Africa won by 134 runs
Pakistan vs Afghanistan in UAE, 2013
Dec 8, 2013 at Sharjah
Pakistan won by 6 wkts
Dec 5, 2013 at Johannesburg
South Africa won by 141 runs
Dec 3, 2013 at Dunedin
Pakistan in South Africa 2013
Nov 30, 2013 at Centurion
South Africa won by 4 wkts
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Ashes 2013-14 Mitchell Johnson picks 7 wickets against England