Tung Chee-hwa, who has pledged to tackle the housing shortage in his first policy address on Wednesday, has come under fire for leaving his official retreat Fanling Lodge unused.
The Democratic Party demanded he consider giving up the government property on Fanling's golf courses.
Its upkeep, together with Government House, costs the taxpayer more than $13 million a year.
More than 58 domestic staff are employed to maintain the two official residences, neither of which appears to have been in regular use by the Chief Executive during his 98 days in power.
Government House is to be used as an official guesthouse for visiting dignitaries and part of it may be turned into a museum.
Mr Tung has said he wants to keep Fanling Lodge as his personal weekend retreat, and it is understood he has allowed his family to use it.
The last Governor, Chris Patten, used the lodge to receive visiting dignitaries. But Mr Tung used his family's privately owned holiday home in Deep Water Bay to entertain Prime Minister Li Peng.