The goalkeeper was in magnificent form and saved a penalty from Cesc Fabregas as France grabbed a last-minute equaliser in the World Cup qualifier at Atletico Madrid's Vicente Calderon Stadium.
Olivier Giroud scored in the 93rd minute to secure a 1-1 draw for the French in Group I.
The result ends double European and World champions Spain's amazing run of 24 consecutive wins in qualifying matches.
Spain took the lead through Sergio Ramos in the 25th minute and after a French rally, including Karim Benzema's goal ruled out for offside, Laurent Koscielny upended Pedro in the penalty area.
Fabregas stepped up - but Hugo produced a fine save diving to his right to deny the Barcelona midfielder.
The goalkeeper - who made his Premier League debut for us last time out against Villa - then denied Fabregas again and Pedro to keep the scoreline to 1-0 at the interval.
France improved in the second half and wasted a couple of chances, but they had the final word when Giroud turned home a cross from Franck Ribery to level it at 1-1.
The teams are locked together on seven points in Group I and meet again in Paris in March.