Just as the Nigerian side were beginning to settle down, Lisa-Marie Utland doubled their advantage through the hands of Tochukwu Oluehi into the roof of the net from a close range in the 33rd minute. 19-year-old Giulia Gwinn was the scorer of the winning goal in the 66th minute after the Chinese had wasted a couple of gilt-edged chances in the first half.
Mistakes from Oluehi and Ebi after what should have been a routine goal kick then led to the third goal, with Isabell Herlovsen's right-wing cross diverted into her own net by Ohale.
They face South Korea and hosts France in their remaining group phase matches.
Norway boss Martin Sjogren: "Our style will be totally different against France". The Guingamp player has however doused tension choosing instead to say women's football has evolved from what it used to be 24 years ago. We have a clear plan for how we're going to play against them. "A game can change in the last minute so we will work very hard for it and I can promise that we'll never give up", Dennerby said. "We have to win the second game [against Korea Republic], we'll do all we can to win".
On their part, Nigeria'sSuper Falcons are ranked 38th in the world but could surprise many despite their underdog status.
Norway would have been in a greatly improved position for an attack on the 2019 FIFA Women's World Cup had Ada Hegerberg made herself accessible for choice yet the best female player in the world will miss for the tournament.
Norway scored three goals in the first half of a Women's World Cup game for the seventh time - no nation has ever done so more often (USA also seven).
The majority of the discussion ahead of the 2019 FIFA Women's World Cup, particularly where Norway are concerned, is that the best female player in the world won't contend in the tournament.
Stanley Cup Buzzer: Bruins, Blues are going to Game 7
Also, for the second straight game the Bruins failed to score a power-play goal, going 0-for-3 with the man-advantage. The problem with declaring that Tuukka Rask has played his best game of the playoffs is that it's an overused line.