Following an examination last week, Dion’s doctor diagnosed a weakness in her right vocal cord and prescribed up to eight weeks of rest.
“Obviously this is the worst thing for a singer… not being able to do your shows,” Dion wrote on her website http://www.celinedion.com/news/celine-dion-prescribed-voice-rest-until-end-april .
“I feel worse knowing that I’m disappointing my fans. I’m so sorry… I hope they forgive me.”
Dion, 43, is midway through a three-year residency at Caesars Palace, where tickets to her show sell for as much as $250 (£155).
She began experiencing discomfort with her vocal cords last week but had initially anticipated returning to work at the weekend.
However, a doctor in Los Angeles said Dion was suffering from inflammation of the vocal cords caused by a virus and advised her to cancel all shows until 9 June.
Tickets for the cancelled performances will be refunded.
“I tried to sing at my sound check last week and I had no control of my voice whatsoever,” said Dion, in a statement.
“We thought that after a few days’ rest I would improve but it wasn’t getting any better. I guess it was worse than I thought.”
Dion continued, “I’m fortunate that I was able to see Professor Berke. He assured me that with the amount of rest he prescribed, I would be back to 100%.”
Her previous run at Caesars Palace which began in 2003 and was eventually extended to five years earned more than $400m (£250m).
The Grammy-winning singer, who remains best known for the Titanic theme song ‘My Heart Will Go On’, gave birth to twin boys in 2010.