She will meet Ehud Olmert, the Israeli prime minister, on Monday.
She will then travel to Egypt, Jordan, Saudi Arabia, Kuwait, Germany and Britain before returning to Washington on January 19.
The visit to Kuwait will include a meeting with foreign ministers from the Gulf states of Saudi Arabia, Kuwait, the United Arab Emirates, Oman, Qatar and Bahrain, as well as Egypt and Jordan.
"I expect this trip to really be one in which we have intensive consultations," Rice said.
"If you don't lay the groundwork very well, then it's not going to succeed. And I think no plan can be made in America."
The trip comes two days after George Bush, the US president, presented his latest strategy for Iraq that includes the deployment of an additional 21,500 American troops.
Before her departure, Rice told US congress legislators that her trip "will focus heavily on rallying the support of those responsible Arab states to support the government of Iraq, to support what needs to be done there, to support, of course, also Lebanon and the moderate Palestinians".