He escaped an early scare when he went for a quick single to get off the mark and would have been out if Mark Wood had hit the stumps from close range.
Fans on social media reacted immediately, with some even comparing it to former New Zealand skipper Dan Vettori's stunning effort against the West Indies at the 2015 World Cup.
Chapman started by giving Williamson the strike and then pulled his fifth ball for six.
Opener Martin Guptill had earlier feasted on some inconsistent bowling, setting the tone while Williamson found his feet to score 65 off 40 balls.
Jordan was fielding on the long-off fence when big-hitting de Grandhomme, promoted to No 4 in the batting order, struck his first ball, from leg-spinner Rashid, high in his direction.
New Zealand's match against England in the Twenty20 tri-series is shaping as a crunch match for both sides, with Australia virtually assured a final spot. A superb 18th over from Jordan cost just three and removed Williamson, but Wood was taken for another six by Chapman, who found deep midwicket three balls after Sam Billings dropped him in the same position.
Kim Jong Un invites South Korean president for summit
The previous meetings came after rounds of global talks aimed at eliminating the North's nuclear program, which eventually failed. At one point the North Korean cheerleaders unsuccessfully tried to get the crowd of about 3600 to do the wave.
England batsman Jason Roy says the match is hugely important for the team.
New Zealand captain Kane Williamson: "It is an important win in the context of the series".
England only managed a modest total of 137-7 in their 20 overs against Australia at the MCG, with the hosts chasing down the target with seven wickets to spare. We had to play very good cricket and we did that today'.
England batsman Dawid Malan: "I don't think anyone walks away when you get that close and thinks they are happy with that".
'We just needed to rebuild the innings a little bit but it never happened'.
Of the surface presented for the Pakistan T20 - also New Zealand's most recent victory - Hesson said: "We're all well aware it wasn't a great wicket". We were just off with our skills and the wicket played better than everyone thought.
The small crowd at the Cake Tin had plenty to enjoy, and were probably pleasantly surprised at New Zealand's performance given the look of the pitch.