The triumph extends Los Blancos’ record haul to 34 league titles — eight more than Barca, who had lifted the past two La Liga trophies.
Zinedine Zidane’s team overhauled their rivals with a 10-game winning streak since La Liga returned in June after a three-month break due to the coronavirus pandemic.
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.
Zidane — who was reappointed for his second spell as coach in March 2019 — has now won two trophies this year, after picking up the Spanish Super Cup in January.
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