The Black Caps beat England by 12 runs in Wellington on Tuesday, thanks to top-scorer Williamson's 72 and 65 from opener Martin Guptill.
ENGLAND'S wait for a tri-series win goes on after losing to New Zealand by 12 runs.
On a pitch that appeared worn and torn, Buttler won the toss and elected to bowl, only for Guptill and Williamson to put on 82 for the second wicket partnership.
Opener Guptill contributed 65 from 40 deliveries and there was a useful cameo from debutant Mark Chapman, with the former Hong Kong global scoring 20 off 13. Alex Hales was back to his best though, striking 47 off only 24 balls, until he pulled straight to deep midwicket; James Vince was run out when, as in the Brisbane Test, he could have dived; and after Colin Munro had bowled a couple of overs of length to apply the break, Buttler lofted to long-off. Dawid Malan fought a lone battle with a valiant 59 and the lower order threatened, but Sodhi, Mitchell Santner and Trent Boult took two wickets each to wrap the game.
After 4 T20I matches in the series, Australia sealed their final spot with three wins of the three matches they have played.
New Zealand will clinch a place in the final on 21 February if they beat Australia on Friday.
In their previous two defeats to Australia it was England's batting that failed them, but on this occasion, on a bouncy Wellington pitch, it was their bowling which was called into question as the Black Caps amassed 196-5.
New Zealand took 62 from the last five, Williamson making Wood curse his earlier error even more by taking 17 off his penultimate over.
Captain Kane Williamson led from the front with an innings of 72 off 46 balls against England.
De Grandhomme went first ball after he was brilliantly caught by Chris Jordan on the boundary when the pace bowler leapt to take a one-handed catch before landing just inside the rope.
Run out of Vince by skipper Williamson and Sodhi's second victim skipper Buttler saw England slide further in the run chase.
"It's important we try and get a read of the surface as quickly as possible and get stuck into our work". We were just off with our skills and the wicket played better than everyone thought.
Roy says they've got a bee in their bonnet and want to make sure the next game is a strong performance. We did not get the cameos in the middle either. "[Need a favour from Australia?] That's what we need now, so we'll wait and see what happens".