The Brazilian suffered a cracked metatarsal, as well as a sprained ankle, during a 3-0 Ligue 1 defeat of rivals Marseille on Sunday.
PSG coach Unai Emery initially indicated he felt Neymar would return in time to face Real Madrid in the second leg of their last-16 Champions League tie on March 6.
But with Neymar requiring surgery on his foot injury, the world's most expensive player will now face a substantial period on the sidelines.
