Jose Mourinho's side already had one foot in the last four after romping to a 4-0 victory in the first leg and the 5-0 aggregate success sets up an epic instalment of their 'El Clasico' feud with bitter rivals Barca.
Tottenham had two decent penalty claims turned down at White Hart Lane, but their hopes were extinguished when Brazilian goalkeeper Gomes allowed Ronaldo's shot to squirm into the net early in the second half.
Who is your early pick for the blockbuster Real Madrid v Barcelona semi-final? Have your say below
Mourinho can now look forward to another semi-final meeting with Barca, who were eliminated by the Portuguese coach when he was in charge at Inter Milan last season.
Real and Barca will fight for three trophies over the next month as they are also scrapping for the La Liga title and clash in the Spanish Cup final.
Mourinho said that he had suffered some nervous moments in the first-half but once Ronaldo scored it was game over. He said that his side had a chance against Barca.
"Let's see what happens. A semi-final is a semi-final. Anything can happen, though, we have not been as fortunate as Barcelona in avoiding suspensions for the match," said Mourinho.
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