WASHINGTON — Facing growing criticism from Congress, veterans’ groups and even late-night television hosts, the Obama administration announced on Friday that it would include significant increases for veterans’ programs, including money for mental health services, in the budget it unveils next week.

The president’s budget for the 2014 fiscal year will include $63.5 billion in discretionary funds for the Department of Veterans Affairs, a 4 percent increase over the current budget, said Denis R. McDonough, the White House chief of staff.

The spending plan calls for a 13.6 percent increase in discretionary spending, to $2.5 billion, for the Veterans Benefits Administration, the embattled agency within the department that oversees benefit programs, including education and disability compensation programs. And it will include $7 billion for mental health services, a 7 percent increase.

The budget will also propose spending nearly $300 million on two programs intended to digitize disability claims for wounded veterans. The department has more than 850,000 claims awaiting decisions, of which nearly 70 percent have been pending for more than 125 days, its benchmark for timely action.