House Majority Leader Jim Wright (D-Tex.) said yesterday that President Reagan will get most of the budget cuts he is seeking, but "I can't believe a responsible Congress will embrace" the kind of tax program Reagan has recommended.

In an interview with a group of reporters, Wright said that "no matter how slick a salesman or winsome a personality" Reagan may be, he cannot persuade Congress and the country to support the Kemp-Roth tax program for 30 percent across-the-board cuts in individual income tax rates over the next three years.

Saying that a House Budget Committee analysis shows that the Reagan bill would bring $746 in benefits in the next four years to a family of four with $10,000 income but $16,965 to a family with $100,000 income, Wright said, "I just don't think he can sell it."

Wright said a consensus is emerging among House Democrats for a "less costly" tax bill that would tilt its dollar benefits to middle- and lower-income families, offset some of the Social Security tax increases, eliminate the tax penalty for married couples and provide tax credits for college tuition payments.

"The bottom line," Wright said, "would be a lesser deficit than that projected by the president."

He predicted that Reagan would get "more than 60 or 70 percent" of the dollar volume of cuts he is seeking in the fiscal 1982 budget, if not necessarily in the exact areas he is recommending.

He gave his personal endorsement to proposed reductions in milk price supports, elimination of general revenue-sharing with the states, a cap on federal Medicaid payments, tighter food-stamp eligibility rules and stricter requirements that recipients of unemployment compensation accept any other available job.

He also endorsed Reagan's proposal that many categorical programs be transferred to block grants with lessened federal funding.