The World Owl Trust say their current agreement with the estate managers is being terminated and unless they can negotiate new arrangements, they'll have to leave by May 2015.
The charity claims the new terms are not financially viable, but the estate say negotiations are ongoing and in tough financial times it's having to review the way the owl centre is run.
The Muncaster estate says it's willing to negotiate but the Trust says it's looking for new premises. Honorary President Tony Warbuton said: "the owl trust is looking for somewhere new to be based, we do not feel we are wanted anymore at Muncaster."
Peter Frost-Pennington who runs Muncaster Castle says there will always be a home for owls on their site.
But he says they have been forced to review the way the owl centre is run by the World Owl Trust due to a weak economy.
He added their aim is to continue having an owl centre at Muncaster that works in the best interest of the owls and visitors.
One of Cumbria's leading tourist attractions could be set for a new home.
The World Owl Trust claims potential changes to its lease could force it out of Muncaster Castle.
The castle says it wants to keep an owl centre, but needs to look at efficiency.