Six-times world champion Ogier also took five bonus points from the final Power Stage, with Neuville taking three. The Belgian now has 110 points to his French rival's 100.
Hyundai lead the manufacturers' championship with 157 points, 37 clear of closest challengers Toyota.
"The car has been absolutely perfect all weekend and I have felt comfortable, quick and in control throughout the event," said Neuville after his second win in a row following victory in Corsica last month.
The sixth round of the championship is in Chile on May 10-12. (Reporting by Alan Baldwin in London, editing by Pritha Sarkar)