WASHINGTON — President-elect Donald J. Trump has offered the position of secretary of the interior to Montana’s freshman representative, Ryan Zinke, a former Navy SEAL commander, two officials familiar with Mr. Trump’s decision confirmed on Tuesday.

The appointment of Mr. Zinke would round out Mr. Trump’s choices to lead the four agencies that will shape the future of the nation’s energy and climate change policies.

Last week, he named Scott Pruitt, the Oklahoma attorney general who has built a career out of suing the Environmental Protection Agency, to lead that office. On Tuesday, transition officials said he would name Rick Perry, the former Texas governor who vowed to eliminate the Energy Department, to run that agency.

Mr. Trump has also chosen Rex W. Tillerson, the chief executive of Exxon Mobil, to head the State Department, which negotiates international climate change agreements.