Norway had their third goal in the 36th minute thanks to an own goal by Osinachi Ohale when she poked the ball into her own net after a cross from the right.
France and Norway have now recorded three points each, while Korea Republic and Nigeria are pointless.
Ingrid Hjelmseth, Norway's 39-year-old goalkeeper, had little to do as Nigeria struggled to carve out chances.
Norway forward Emilie Nautnes has disclosed her side's readiness to light up the Stade Auguste-Delaune with goals when they take on Nigeria on Saturday.
The goal came after the South Africans had weathered Spain's early dominance with desperate defending and then began to look threatening on the counter-attack. We have a clear plan for how we're going to play against them. "The team deserves something better".
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The Sarfraz-led side then came back strongly beating favourites England in their second match. Shoaib Malik played the match against England at number seven position.
Norway defender Maren Mjelde: "It's always great for us defenders and the keeper to keep a clean sheet, it's an important thing for us".
"When it comes to sports, never ever give up". We have to fight for 180 minutes more, plus added time.
"A game can change in the last minute".
Two goals in the space of 186 seconds effectively ended the game in the first half. The 2019 FIFA Women's World Cup kicked off in France on June 7 and hosts France took on South Korea in the inaugural match of the tournament.
The goals were scored in the first half to condemn the nine-time African champions to their 17th defeat in World Cup finals.