A bid to develop the Beacon museum in Whitehaven has been submitted by Copeland Borough Council.
Councillors say the development, that would cost an estimated £1.2 million, would benefit the economy in West Cumbria.
The museum was re-opened this spring after Sellafield agreed to pay for its running costs for the next five years.
Elaine Woodburn, Leader of Copeland Borough Council, said:
More top news
The Conservative party have ousted Labour, from a seat they had held for decades. Trudy Harrison won a majority of more than 2,000.
As Storm Doris moves away - temperatures will fall.
Sixty-six-year-old Yvonne Blackman, from Dalton, Lockerbie, was involved in the serious collision on Wednesday 8th of February