The prime minister addressed Parliament at the start of a two-day debate on allegations of abuse of power in relation to his family house, a legacy of his late father and former Prime Minister Lee Kuan Yew.
Lee Kuan Yew, the first Prime Minister of Singapore, had lived and built his political stature from the house at 38 Oxley Road, on the outskirt of Central Business District and the fashionable Orchard Road.
"In Singapore, everyone is equal before the law. Lee (Kuan Yew) understood this most of all," said the Prime Minister.
"When the dust has settled on this unhappy episode, people must know that the Government operates transparently, impartially, and properly. That in Singapore, even Lee's (Kuan Yew) house and his wishes are subject to the rule of law," he said.
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"This is the 'house' that Lee (Kuan Yew) built, not 38, Oxley Road," he added.
Both younger siblings want the house demolished, saying that is in accordance with their father's wishes.
Prime Minister Lee had earlier made it clear in Parliament that as a son, he supports his father's wish on demolition.
But Lee and Lee Hsien Yang have accused their elder brother of setting up a "secret" ministerial committee to challenge what they said was their father's preferred wish to demolish the house, and of improperly acquiring a deed of gift for items to be used in an exhibition not long after Lee Kuan Yew's death in March 2015.
"Hongyi, my son, has publicly said he is not interested in politics. Nor have I pushed him to enter politics," Lee said.
Addressing each of these three claims in turn, the prime minister said he had recused himself from all government decisions relating to the house, and had no part in the decision to set up the committee, which is chaired by Deputy Prime Minister Teo Chee Hean.
"Therefore, the Ministerial Committee cannot be independent from me. In fact, they say this of Parliament itself," the prime minister noted.
"This cannot be right. It is standard practice for the person facing a potential conflict of interest to recuse himself from the matter in this way," he noted.