WASHINGTON -LRB- CNN -RRB- -- House and Senate Democrats reached agreement late Monday on a budget resolution for 2010 , which includes key spending priorities for the young Obama administration . The Senate and House could vote on the budget resolution Tuesday . President Obama 's budget request is $ 3.67 trillion . `` This budget is a major accomplishment , '' Senate Budget Committee Chairman Kent Conrad said in a statement . `` We are meeting President Obama 's goals of reducing our dependence on foreign energy , striving for excellence in education , reforming our health care system , and providing middle-class tax relief . '' The agreement came as lawmakers were reconciling the House and Senate versions of the budget package . The president 's budget request is $ 3.67 trillion . The full Senate and House are each expected to vote on the fiscal 2010 budget resolution this week . The House vote could come as soon as Tuesday . Budget negotiators have fast-tracked part of the budget process . Major health reform is likely to pass this year , because the special process -- known as budget reconciliation -- wo n't allow Republicans to filibuster the legislation , as was widely expected . Democrats , who currently control 58 seats in the Senate , will be able to pass it with a simple majority vote , instead of the 60 needed to overcome a filibuster . Separately , conservative Democrats in the House , who have been pushing for a strong statement from leadership on fiscal responsibility in the budget , may have some of their concerns addressed . A Democratic aide told CNN that House Speaker Nancy Pelosi and House Majority Whip Steny Hoyer are drafting a letter to Senate leaders `` throwing down the gauntlet '' to insist that a pay-as-you-go system be followed , which would require new federal spending to be offset with budget cuts or tax increases . President Barack Obama called for the so-called `` PAYGO '' legislation in his weekend radio address . The budget resolution would limit increases in non-defense discretionary spending to 2.9 percent through 2014 , according to Conrad . `` While the budget resolution takes important steps in the near-term of cutting the deficit in half by 2012 and by two-thirds by 2014 , it is clear that more will be needed to address the long-term fiscal imbalance confronting the nation beyond the five-year budget window , '' said Conrad . President Obama gathered his Cabinet members last week and challenged them to cut a total of $ 100 million in the next 90 days . In the context of the federal budget , $ 100 million in savings is a tiny amount , critics said . It is the equivalent , according to one example , of having a car dealer offer to shave $ 1 from the cost of a $ 36,700 vehicle . `` Any amount of savings is obviously welcome , '' Senate Minority Leader Mitch McConnell , R-Kentucky , said at the time . `` But -LRB- $ 100 million is -RRB- about the average amount we 'll spend every single day just covering the interest on the stimulus package that we passed earlier this year . '' White House Press Secretary Robert Gibbs said ordinary Americans would nevertheless appreciate the savings effort . `` Only in Washington , D.C. , is $ 100 million dollars not a lot of money . It is where I 'm from . It is where I grew up . And I think it is for hundreds of millions of Americans . '' CNN 's Deirdre Walsh contributed to this report .