Karim Benzema fired between the legs of Sergio Asenjo and added a controversial second from a retaken penalty.
In bizarre fashion, Sergio Ramos had rolled the first attempt for Benzema to smash in but the effort was disallowed.
Vicente Iborra pulled one back but it mattered little to Real as the club wrapped up their 34th Spanish title.
Zinedine Zidane’s side has won all 10 of their matches since Spanish football restarted in June.
They head into the final day of the season with an unassailable seven-point lead over second-placed Barcelona. (BBC)