The 46-year-old recording artist had previously canceled a gig in Paris, which was to serve as the opening of her European tour.
The BBC said Houston's planned Manchester concerts for Thursday and Friday have been postponed until June 16-17, while Sunday's Glasgow show has been moved to May 1.
"Doctors visited Whitney late last night in Paris and confirmed that she was suffering from an upper respiratory infection," her record label said in a statement Wednesday. "Upon medical advice, Whitney has been advised that she cannot perform to allow her time to recover."
Future dates in Birmingham, Nottingham, Dublin, Newcastle and London are expected to go ahead as planned, the BBC said.
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