The Paris Saint-Germain forward broke the deadlock shortly after half-time in the last-16 clash by poking home from close range.
He was also heavily involved in the late strike that finally put the game out of reach at 2-0, setting up Roberto Firmino.
And after a tetchy match that saw Neymar put on the floor on more than one occasion by some ferocious marking, he gleefully celebrated Brazil's passage into the quarterfinal.
"They talked too much, and they are going home," he said to reporters after the final whistle.
"I want to congratulate the whole team. There are times in any game where you have to suffer, these are tough games and Mexico are a great side, but we showed lots of class.
"Us attackers have to score the goals because we know that we are very strong at the back."
Despite his praise for Mexico, Neymar was put out by a stamp suffered at the feet of Miguel Layun.
"It was unfair. The ball was not in play and we were off the pitch," he signalled.