In other quarter finals, Uruguay will face Spain at 9.27 tonight, Argentina will meet Great Britain at 9.49 tonight, and France will take on Australia at 10.41 tonight.
Fiji started strong with two tries to Iowane Teba and Joji Nasova to help them lead 14-5 at halftime.
Pilipo Bukayaro, Vuiviawa Naduvalo and Terio Veilawa scored a try each in the second half to seal Fiji’s win.
Andrew Knewstubb scored New Zealand’s only try.
In other result, Kenya beat Uruguay 19-5, Great Britain thumped Ireland 17-0, France defeated Spain 21-7, Australia beat the USA 19-12 and Argentina beat South Africa 19-17.
The men’s semi finals will be at 7.05pm tomorrow, and the cup final will kick off at 11.35pm tomorrow.
The Fijiana will play Great Britain at 6.19 tonight.
The Women’s cup quarter finals will kick off at 12.02am tomorrow, the cup semi finals will start at 7.49pm tomorrow and the cup final will kick off at 12.11am Monday.
UPDATES: Fiji 0 vs 0 NZ
14' Try to Fiji. Terio Veilawa. FJ 33-5 NZ
12’ Try to Fiji. Vuiviwa Naduvalo. FJ 26-5 NZ
11’ NZ penalised inside their 10m line. A chance for Fiji to add the extras. FJ 19-5 NZ
8' Try to Fiji. Pilipo Bukayaro. FJ 19-5 NZ
Kick off: Fiji
2nd half
HT: fj 14-5 NZ
7’ Try to Fiji. Joji Nasova. FJ 14-5 NZ
5’ Try to NZ. Andrew Knewstub. FJ 7-5 NZ
2’ Try to Fiji. Ioane Teba. FJ 7-0 NZ
1'. FJ vs NZ Updates
Kick-off: NZ
