Looking to avenge their semi-final defeat at the hands of the Germans last season, Madrid flew out of the traps and were ahead within three minutes when Gareth Bale poked home from Dani Carvajal's pass.
Isco doubled Real's lead after 27 minutes as his low shot from the edge of the area curled into the bottom corner.
Ronaldo then scored his 14th Champions League goal of the campaign to match the competition's record mark for goals in a season set by Lionel Messi two years ago.
Madrid had also suffered a disruption just before the game as Angel di Maria was ruled out with gastroenteritis, but they didn't miss a beat without the Argentine as his replacement Isco pulled the strings in midfield and they started with great intensity.
Bale opened the scoring with his 17th goal of the season as he controlled Carvajal's low centre before finishing first time.
Dortmund goalkeeper Roman Weidenfeller then had to make two brilliant saves from a free-kick each from Ronaldo and Bale.
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