The twin announcements marked the end of a hectic week of realignment of the Bush Cabinet, which has now seen more than half its members resign in the month after Mr. Bush's re-election.
Other new faces selected to join the Cabinet this week includeat the Department of Agriculture and at Commerce.
In addition to Thompson, whose departure was expected, Homeland Security chief Tom Ridge announced he wouldn't serve a second term earlier this week. Thompson is the eighth member of Mr. Bush's 15-member Cabinet to resign since the Nov. 2 election.
Analysts expect easy confirmation hearings for Kerik, who is set to replace Ridge, partially due to the diverse experiences in
Outside of the Cabinet, another major Bush player put in his resignation. U.S. Ambassador to the United Nations,, took fellow U.N. ambassadors by surprise by sending Mr. Bush a farewell letter, which cited his desire to spend more time with his wife.
Mr. Bush cleared up one big question mark looming over his Cabinet by meeting with Defense Secretaryand requesting he stay in his post. Rumsfeld, whose future has been in doubt amid spreading violence and U.S. deaths in Iraq, agreed, according to a senior administration official. Rumsfeld's tenure has been marked by more than 1,250 U.S. deaths in Iraq, as well as enormous increases in spending on the military after the 9-11 attacks.
Aside from Rumsfeld, those remaining include Treasury Secretary John Snow, Transportation Secretary Norman Mineta, Interior Secretary Gale Norton, Labor Secretary Elaine Chao, Veterans Affairs Secretary Anthony Principi and Housing and Urban Development Secretary Alphonso Jackson.
A likely replacement for Thompson is Mark McClellan, the current Medicare chief and former FDA commissioner, according to CBS News Correspondent
CBSNews.com's David Paul Kuhn reports political analysts say Mr. Bush is moving fast to get his house in order before driving his second-term agenda. Come January, he intends to push for the partial privatization of Social Security and an overhaul of the U.S. tax code, while continuing his aggressive campaign against international terrorism.
Some give Mr. Bush just one year to push his agenda before his clout wanes. "Bush is determined not to be a lame duck president," said Lee Edwards, a presidential historian at the Heritage Foundation. "As we know, history shows us that is very often the case."
With today's announcements, Mr. Bush has surpassed the number of Cabinet position changes made by recent two-term presidents during their transitions.
Presidents Clinton and Reagan each made seven new Cabinet appointments; neither president appointed as many insiders as Mr. Bush or as many minorities to key posts. Richard Nixon made a unique move in 1972 by asking his entire Cabinet to turn in their resignations shortly after winning reelection. When the dust settled, there were eight new faces in Nixon's Cabinet.
Mr. Bush might be operating under a differnt strategy than his predecessors, according to James Pfiffner, a specialist in presidential personnel at George Mason University.
"He's looking for more responsiveness in his cabinet. It looks like they want people who will be able to sell his policies on Capitol Hill rather than policy experts," Pfiffner said.
And President Bush may not be done yet. There's speculation more changes could be coming in his Cabinet.
According to CBS's Roberts, a senior administration official late today said more shakeups are on the way - and one big question mark remains: What to do about Treasury's John Snow? Transportation Secretary Mineta's name also nears the top of the list of those most likely to leave.