Buttler placed on a gap stand of 66 with Jason Roy, who made 22, as England romped residence to their victory goal of 126 in 11.4 overs in Dubai.
Buttler smashed 5 fours and 5 sixes in his 32-ball knock to drive England to their third successive win within the Tremendous 12 stage.
Woakes and Chris Jordan shared 5 wickets between them to assist bowl Australia out for 125 after they elected to subject first.
Woakes despatched the damaging David Warner trudging again to the pavilion, caught behind for one, to sign his intent after England elected to bowl within the Tremendous 12 contest in Dubai.
Woakes then eliminated Glenn Maxwell and returned figures of 2-7 from his first three overs of fantastic seam bowling and in between took an excellent catch to see off Steve Smith for one.
Fellow fast Chris Jordan (3-17) returned spectacular figures of 3-17 to flatten the Australian batting regardless of a preventing 44 by skipper Aaron Finch.
Australia fell to a precarious 51-5 after leg spinner Adil Rashid trapped Marcus Stoinis lbw for nought and Liam Livingstone claimed the wicket of Matthew Wade, for 18.
Finch counter-attacked as he took on Tymal Mills and Jordan for just a few boundaries.
He placed on 47 runs with Ashton Agar, who made a run-a-ball 20, to offer some respectability to the whole.
The left-handed Agar hit two straight sixes off Woakes’ fourth over however fell to Mills whereas making an attempt one other massive hit.
Jordan got here again firing to dismiss Finch and Pat Cummins, who had the primary two balls of his three-ball keep over the fence, on successive balls. Adam Zampa averted the hat-trick.
Mills gave away 45 runs from his 4 overs however obtained Mitchell Starc out on the ultimate ball of the innings to bowl out the Aussies.
In reply, England began solidly earlier than Zampa trapped Roy lbw, after an attraction the on-field umpire denied however Australia efficiently reviewed.
Agar had Dawid Malan caught behind for eight along with his left-arm spin however the wicket proved solely a minor bump on England’s street to victory.
Buttler stored punishing the bowling, elevating his half-century with a six. He had Jonny Bairstow, who hit the successful runs, for firm until the top.
England keep high of group 1 with six factors forward of Australia and South Africa, who edged out Sri Lanka within the first match of the day.