The singer-songwriter was due to play the outdoor A Day at the Hop Farm shows this September, but these sets have now been cancelled.
"Due to unforeseen circumstances, Leonard Cohen's two shows at Hop Farm, Kent on 8 and 9 September will no longer be taking place at that venue," organisers confirmed.
"However, Cohen will now be performing at a new London venue on the same dates. Cohen will still bring his much-anticipated 'Old Ideas' world tour to the UK with the scheduled shows now taking place in the fully seated and historic Wembley Arena on 8 and 9 September."
They continued: "Ticketholders for the Hop Farm concerts should contact their point of sale for refund/new ticket issue.
"Such ticketholders will also be invited to an exclusive pre-sale to purchase tickets for the new Wembley Arena dates and to have first access to the best seats in the house."
Cohen this year released his 12th studio album Old Ideas, his first since 2004's Dear Heather.
This year's Hop Farm Festival was headlined by Bob Dylan, Suede and Peter Gabriel and the New Blood Orchestra, with support from Damien Rice, Primal Scream, My Morning Jacket, Maximo Park, Patti Smith and more.
> Leonard Cohen: 'Fans want moratorium on Hallelujah'
Watch the Leonard Cohen 'First We Take Manhattan' music video below: