Winger Kaminieli Rasuku scored the Fijians only try in the 35th minute which halfback Simione Kuruvoli coverted. Centre Quinn Tupaea scored the Baby Blacks only other first half try in the 38th minute and Burke again added the extras to give New Zealand a 15-7 lead at the intrval.
Fiji were always going to struggle after winger Epeli Momo was red carded for a dangerous tackle in the 41st minute. A minute later lock Tupou Vaa'i scored the first of his two tries and the floodgates opened.
New Zealand's scrum became more dominant as the Fijians began to tire and a powerful scrum was the key to halfback Leroy Carter's 47th minute try. Winter Lalomilo Lalomilo scored in the 59th minute and subsitute pivot Rivez Reihana slotted the first of his three conversions to have the Baby Blacks 34-7 up.
Further tries to Tupaea, Vaa'i and substitute hooker Shiulo Klein ended the drubbing.
New Zealand's next game will be against Japan on Tuesday and their last game will be against hosts Australia on May 4.
Scorers:
New Zealand 53 (Quinn Tupaea 2, Tupou Vaa'i 2, Sam Gilbert, Leroy Carter, Lalomilo Lalomilo, Shilo Klein tries; Fergus Burke pen, 2 cons; Rivez Reihana 3 cons), Fiji 7 (Kaminieli Rasuku try; Simione Kuruvoli con). HT: 15-7.