A spokeswoman for Ladbrokes said: "We do not offer odds on the Queen to abdicate as many people will interpret that as you taking bets on her death. Something which is quite clearly incredibly distasteful."
The Coral spokesman said: "Throughout the year there has been major speculation about the Queen's future but today's gamble has really caught us by surprise.
"As far as we are concerned, there's no smoke without fire when bets like this come through all in succession, so we have decided to be safe rather than sorry and pull the plug on the market."
But a source close to the Royal Household said they would "point people to the two declarations that the Queen made first of all on her 21st birthday and secondly on her coronation on the second of June 1953".
In a speech in 1947 on her 21st birthday the Queen said: "I declare before you all that my whole life, whether it be long or short, shall be devoted to your service."
In 1953 she said: "I have in sincerity pledged myself to your service, as so many of you are pledged to mine. Throughout all my life and with all my heart I shall strive to be worthy of your trust."
-AAP