Kane Williamson coolly struck a straight six to give New Zealand a one wicket victory over Australia in a dramatic battle between the cricket World Cup hosts at Eden Park in Auckland on Saturday.

Williamson lofted Pat Cummins over the boundary with last man Trent Boult at the wicket to finish on 45 not out in New Zealand's 152 for nine off 23.1 overs.

Mitchell Starc scythed through the New Zealand batting after Brendon McCullum had given the home side a flying start with 50 from 24 balls, including seven boundaries and three sixes, to take six for 28 from nine overs.

New Zealand’s left-arm fast bowler Trent Boult recorded his best figures in a one-day international, capturing five wickets for one run during his second spell, to finish with five for 27 in Australia’s 151 all out from 32.2 overs.

There was no hint of what was to follow at the start of the day when Australia, who won the toss, set off as if they were determined to post a total around the 400 mark.

Tim Southee conceded 15 runs off the first over of the day, David Warner slashed a six off his second over the short third man boundary and Aaron Finch struck the pace bowler over mid-on into the stands off the third.

With his next ball Southee knocked Finch’s off stump out of the ground after he had scored 14.

Warner and Shane Watson took the score to 80 when McCullum introduced Daniel Vettori into the attack.

Bowling with his accustomed flight and guile, the left-arm spinner put a brake on the scoring and the frustrated Watson (23) perished when he pulled a short delivery straight to Southee at mid-wicket.

Southee switched ends and was rewarded with the wicket of Warner lbw for 34 to a full delivery which thudded on to his pads.

Wickets then suddenly began to tumble. Steve Smith (four) was caught behind by Luke Ronchi off Vettori from a thick inside edge and Glenn Maxwell (one) and Mitchell Marsh (duck) both dragged deliveries from Boult on to their stumps.

Clarke (12) and Johnson (one) fell to simple catches by Wiliamson off Boult who then bowled Starc for a duck.

Brad Haddin took a four and a six off Vettori's final over and showed the pitch was not a minefield by reaching the top score of 43 with four boundaries and two sixes.

Martin Guptill took a four and a six off Mitchell Johnson's opening over and McCullum looked as if he wanted to finish the game before the interval, despite a lengthy break while he received attention after Johnson hit him on the left arm.

After Guptill had departed for 11 and McCullum soon afterwards, Starc raised Australia's hopes by bowling Ross Taylor (one) before the interval and Grant Elliott (duck) with the first ball after the break.

Corey Anderson, who hit Johnson for six, added 52 with Williamson and appeared to have set New Zealand victory before he was caught for 26.

Wickets then fell regularly and it was only Williamson’s composure under pressure which enabled New Zealand to get over the line for a fourth successive victory in the tournament.

Off-spinner Ravichandran Ashwin claimed four wickets to lead a strong Indian bowling performance as the defending champions eased to a nine-wicket victory over the United Arab Emirates in a Pool B encounter in Perth on Saturday.

Left-arm spinner Ravindra Jadeja and fast bowler Umesh Yadav chipped in with two wickets apiece as the Emiratis were bundled out for just 102 in 31.3 overs at the Waca to post the lowest score of this year's tournament.

Opener Rohit Sharma had missed out in India's wins against Pakistan and South Africa but used the opportunity to get some runs under his belt as his team chased down the target with 31.1 overs to spare for a third triumph in as many matches.

Rohit (57) and Virat Kohli (33) added 75 in an unbroken second wicket stand to carry India home after in-form opening batsman Shikhar Dhawan (14) fell to a sharp one-handed catch by Rohan Mustafa at point off Mohammad Naveed.

Rohit, the owner of the highest ODI score of 264, brought up his 24th fifty with a square-cut boundary off UAE captain Mohammad Tauqir. He hit 10 fours and a six during his 55-ball knock.

India lead Pool B with six points from three games, with South Africa, Ireland and the West Indies all on four points. Ireland have a game in hand on both and are next in action when they play South Africa in Canberra on Tuesday.