It’s Real’s 10th Spanish Super Cup, and first since 2012.
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Karim Benzema also scored in the opening frame, which saw Barca looking out of sorts and rudderless.
As in the first leg in Barcelona, the Blaugranas had their moments but failed to show sharpness and class against the reigning La Liga and UEFA Champions League winners.
Both teams kick off their La Liga seasons on Sunday, with Barca hosting Real Betis and Real off to Deportivo de la Coruna.
Meanwhile, it seems like PSG spent the afternoon trolling Barca, first posting a shot of ex-Blaugranas stars Dani Alves and Neymar training, and then an incredulous Neymar accompanied by a laughing emoji.