The Real Madrid star has enjoyed an excellent tournament for France and in the 40th minute, he put his country ahead from a free kick.
Corentin Tolisso was brought down by Rodrigo Bentancur midway inside Uruguay’s half and from the resulting dead ball, Antoine Griezmann delivered a perfect cross which met Varane’s run and he flicked a header into the far corner.
Ex-Chelsea striker Chris Sutton said on BBC Radio 5 live: “Real quality form Antoine Griezmann.
“He has a little run up, and then checks his run, before whipping a tantalising cross into the box.
“Raphael Varane uses the pace of the ball and whips his header into the far corner.
“No chance for the keeper and now we’ve got a game on.”
Varane is the first French player to score in a World Cup quarterfinal since Thierry Henry against Brazil in 2006.
In that year France went on to reach the final where they were beaten by Italy on penalties.