The 12th Duke of Devonshire says he has no immediate plans to move back to his ancestral home at Chatsworth.
The new duke will not move to Chatsworth
Peregrine Cavendish inherited the title following the death of his father in May 2004.
He says that for the time being he and his wife will remain at Bolton Abbey, part of the Chatsworth estate in Yorkshire.
However, he said he would be a frequent visitor to the Chatsworth estate in Derbyshire.
It is the first time the Duke has spoken publicly about his plans for Chatsworth since his father's death.
He was addressing guests who were attending the unveiling of a new painting by Lucian Freud, bought by the Chatsworth House Trust.
Skewbald Mare is the latest in a series of paintings to be acquired by the estate.
The painting will be on display at Chatsworth from 1 July .
The Duke of Devonshire said: "As far as we're concerned we're very happy in north Yorkshire - we love it there.
"My mother is very happy here (at Chatsworth), we'll come here more often and we'll see how things go.
"That's the plan at the moment but things will change over time and we're all working toward the same goal so it's not too much of a problem."