Moses also scored in England's first group game - a 1-1 draw against North Korea - and the 16-year-old now has three goals in the tournament after just two matches.
He also set up the first goal of a straightforward win over the Kiwis as England virtually guaranteed their spot in the knockout stages.
Moses and the rest of the side will take on Brazil on Friday in a final group match that will probably decide the winners of group B.