Hosts England qualify for semi-finals
Williamson top scores for NZ with 87
Plunkett takes 4-55, Ball 2-31, Rashid 2-47
Eng 310 all out; Buttler hits 61 off 48
Root 64, Hales 56, Anderson 3-55
Highlights on BBC Two at 23:40 BST (UK only)
Vic Marks
Ex-England spinner on BBC Test Match Special
England, by taking that wicket, have changed the balance of the game. You sense the Kiwi batsmen are wary. It's not a minefield - we've already had 460 runs today, but there's suddenly something there and it's in the heads of the Kiwi batsmen and maybe the England bowlers.
NZ 166-3
I'm not going to say this is a drop, because mere mortals wouldn't have got a hand to it. Liam Plunkett the bowler, Ross Taylor's airy drive, Jason Roy flying at point. A fingernail on it, but he had no right to get that close. At the other end, Neil Broom looks like a chap who got picked up on the way to the ground and was asked if he fancies a game. He'll probably get a ton now.
Jonathan Agnew
BBC cricket correspondent on TMS
Taylor now looks a bit unsettled, as though he's also been a bit betrayed by the pitch.
Need 150 from 108 balls
Still Jake Ball. How England would love to get Ross Taylor and have two new men at the crease. Is the track blameless? It's certainly going up and down from both ends. It's amazing how in the space of a few balls New Zealand have gone from cruising to not knowing where their next run is coming from. Maybe the win predictor knew what it was talking about...
Andy Zaltzman
BBC Test Match Special statistician
The two captains have had a different approach with their bowlers. New Zealand only had one five-over spell from any one bowler (Southee's opening spell) in the entire innings. Most of England's bowlers have bowled in blocks of three, four or five.
Wood 8-0-28-1
There's a short leg in place. How often do you see that in the 31st over of an ODI? Demons lurk. Three times Wood has to abort his run-up, with the delivery finally delivered and taking Broom on the glove. That short leg is in the game.
Graeme Swann
Ex-England spinner on BBC Test Match Special
There's nothing wrong with this pitch. England scored 300 and New Zealand are 150-3. You can't blame the pitch.
Looking again, Williamson was trying to run it down to third man. It he'd been playing with a straight bat he might have had a better chance of riding the bounce. Neil Broom is the new batsman...
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Graeme Swann
Ex-England spinner on BBC Test Match Special
You can look at the pitch all you want - it's just that England know you can bowl cross-seamers on this pitch and the ball will bounce steeply or skid on. Stuart Broad has always said that about this pitch. I don't know why it does this - whether it's the soil or whatever.
Jonathan Agnew
BBC cricket correspondent on TMS
Look at Williamson's face. He's blaming the pitch. Ross Taylor is doing the same.
Williamson c Buttler b Wood 87 (NZ 158-3)
Oh yes! The big one! Huge, huge breakthrough for England. Mark Wood does the trick to remove the immovable Kane Williamson. Cross-seam, banged into the pitch, variable bounce to spit at the Kiwi skipper. It takes a glove, or maybe the handle, and loops to Jos Buttler. Massive moment.
Graeme Swann
Ex-England spinner on BBC Test Match Special
The best way for England now is to get Moeen into the attack. He might be expensive but he always takes wickets. Liam Plunkett is the same in that respect.
Need 155 from 120 balls
England push again, calling on the services of Jake Ball. The trees in the distance look like they might be pushed over, while we're struggling to keep the bails on. Ball, tall, blond, has the breeze pushing the ball away from the right-handers, with one ball keeping low. The win predictor has England at 60%. Really?
Jonathan Agnew
BBC cricket correspondent on TMS
New Zealand are up with the DLS rate now.
Williamson 83, Taylor 32
Eoin Morgan would sell Alex Hales for a wicket here. At the moment, the Kiwis are cantering in the Cardiff sunshine. Just beyond the rope, an electronic sponsors' board has been blown over. Mark Wood, starts like a sprinter in the blocks, literally bowling himself into the ground. At the other end, Kane Williamson looks like he'll still be batting at Christmas.
Charles Dagnall
BBC Test Match Special
Eoin Morgan has got to conjure 10 overs from his spinners, which will be playing on his mind a little bit.
Need 160 from 132 balls
I'm struggling to work out why, on a red hot day and with a belting Oval surface, England left out Rashid and then, in a windy, wet Cardiff with short straight boundaries, he gets back in. It's almost as if they took so much flak for not picking him, they were picking him regardless of the conditions here. Moeen Ali hasn't bowled yet.
Text 81111
Can't play in the library during the day, though under the lights later, it would be an absolute road.
Jack in Oxford
England need a wicket, so turn to the pace of Mark Wood. Short run, stubble, easily dealt with by Kane Williamson, who chips down the ground for four. Williamson is an incredible player. He's a nice bloke too. I bet he's good at most things he tries, helps old ladies across the road and cooks a brilliant lasagne. The sort of bloke you wouldn't want your girlfriend to meet. In other news, George Clooney's wife has had twins.
Graeme Swann
Ex-England spinner on BBC Test Match Special
Kane Williamson has shown his class. Everything Ben Stokes tried in his last over, Williamson was better than him.