Harold G. Hamm, the billionaire oil and gas executive who helped bankroll Donald J. Trump’s campaign and stands to profit from his energy policies, is hosting an exclusive fossil fuel industry celebration on Inauguration Day.

The daytime party on the roof of the historic Hay-Adams Hotel, a block from the White House, will be a moment of triumph for Mr. Hamm, who poured more than $4.3 million into political action committees supporting Mr. Trump.

Mr. Hamm, the founder of Oklahoma-based Continental Resources, has been influential in Mr. Trump’s plans to gut environmental protections and allow unfettered access by energy companies to federal land and waters. He also helped raise money from others in the oil and gas industry, which spent more than $75 million to help elect Mr. Trump.

Among the invited guests to Mr. Hamm’s celebration is Doug Burgum, Mr. Trump’s nominee to run the Interior department. Mr. Burgum’s term as governor of North Dakota ended last month and if he is confirmed, he would help determine the use of public land and federal waters. He is also Mr. Trump’s choice to run a government wide energy council. Mr. Burgum received an invitation to the celebration from Mr. Hamm’s executive assistant two weeks after Mr. Trump’s victory in the November election.

Rob Lockwood, an adviser to Mr. Burgum, said in a statement that Mr. Burgum would not attend Mr. Hamm’s party and would instead participate in “formal inauguration proceedings” on Jan. 20.

Top sponsors of the Jan. 20 event listed on the invitation include the Domestic Producers Energy Alliance, a lobbying group that Mr. Hamm founded to aggressively fight climate change policies, and Unleash Energy, a conservative group that includes many advisers to Mr. Trump.