In his new budget, to be unveiled Monday, President Bush will call for large cuts in the growth of Medicare, far exceeding what he proposed last year, and he will again seek major savings in Medicaid, according to administration officials and budget documents.

Over all, the 2009 budget is likely to be the first $3 trillion spending request by a president.

Health care savings are a crucial part of Mr. Bush’s plan to put the nation on track to achieve a budget surplus by 2012. But before then, the officials said Wednesday, the White House anticipates higher deficits in 2008 and 2009, reflecting the current weakness of the economy and the cost of a stimulus package.

The president’s budget will not seek money for another full year of the wars in Iraq and Afghanistan. Pentagon officials said the administration would request $70 billion for the fiscal year that begins on Oct. 1. That would be enough to continue combat operations for several months, until the next president takes office.

Mr. Bush has repeatedly said that the costs of Medicare and Medicaid, which dwarf spending for lawmakers’ pet projects, are unsustainable. The two health programs account for nearly one-fourth of all federal spending, and their combined cost — $627 billion last year — is expected to double in a decade.

Budget documents show that Mr. Bush will propose legislative changes in Medicare to save $6 billion in the next year and $91 billion from 2009 to 2013. In his last budget, by contrast, his legislative proposals would have saved $4 billion in the first year and $65.6 billion over five years.

The president’s budget also takes aim at Medicaid, the insurance program for low-income people. He would pare $1.2 billion from it next year and nearly $14 billion over five years.

Those figures do not include tens of billions of dollars that Mr. Bush wants to save through new regulations. Such rules are not subject to approval by Congress, but could be revised by a future administration.

Congressional Democrats often pronounce Mr. Bush’s budget dead on arrival, and they have no reason to make unpopular cuts in this election year.

But lawmakers say they feel obliged to pass a Medicare bill in the first half of this year, to spare doctors from a 10 percent cut in Medicare fees that would otherwise take effect on July 1. Lawmakers say that bill could easily become a vehicle for other changes in Medicare and Medicaid.