Los Angeles-based tour operator AEG Live said all those who bought tickets through an authorised agent will be refunded the cost of their ticket, and service charges.
Fans can choose to take a refund, or instead receive their actual ticket as a souvenir, which the company said features graphics designed by Jackson.
AEG Live says details will be provided at the website www.MichaelJacksonLive.com from Wednesday.
The offer to receive the ticket will continue until August 14, AEG said.
Around 750,000 fans bought tickets for the shows in London, which were due to begin July 13 and continue until next year.
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