WASHINGTON Senator Mitch McConnell of Kentucky, the Republican leader, operates with near-robotic efficiency when it comes to negotiating budget figures in public, consistently refusing to answer questions that would ever commit him to a specific number at the bargaining table.

So it was more than a little telling when Mr. McConnell laid down his mark in the current budget fight on Tuesday, informing the Capitol Hill press corps that he was ready to offer Democrats a deal, $70 billion in war financing with no strings attached and a total budget identical to President Bush’s proposal.

In other words, the Republicans should get virtually everything they want. And he was not kidding.

With the president warning repeatedly that he will veto any budget package he dislikes and the Democrats short of the 60 votes they need in the Senate, the Republican minority is in an unusually strong bargaining position  and not just in the budget negotiations that are the top priority in Congress these days.

Mr. McConnell and his fellow Republicans are playing such tight defense, blocking nearly every bill proposed by the slim Democratic majority that they are increasingly able to dictate what they want, much to the dismay of the majority leader, Senator Harry Reid of Nevada, and frustrated Democrats in the House.