If Congress enacts President Carter's budget with its proposed reductions in domestic programs, the District of Columbia will be forced to make deep cuts in its jobs, health, education and housing programs, according to an analysis released yesterday by Mayor Marion Barry.

Barry urged the House Budget Committee "to recorder federal priorities . . . so that Washington, D.C., and other urban areas do not suffer excessive adverse effects" from the presidential program.

The committee, headed by Rep. Robert N. Giaimo (D-Conn.), currently is preparing a resolution setting the size of the national budget for the 1980 fiscal year. Carter's proposals call for a 4.9 percent cut in domestic programs, Barry noted.

In the analysis, Barry reported that the president's proposed cuts would include these local effects:

The number of federally financed summer jobs for youth would drop from 13,500 this summer to 9,093 in the summer of 1980, reversing a proposed increase in jobs.

Reductions in the impact aid program, which aids school systems affected by U.S. activities, would force the firing of more than 170 school staff members and reduce services to children.

Twenty-six staff members may be lost in the school program for teaching handicapped children-a program mandated by federal law.

The cost of school lunches would increase by 5 cents, or the quality of food would be reduced. The summer food program for needy children would be curtailed.

The number of additional housing units covered by a rent subsidy program would be trimmed from 750 units to 600. Other housing programs would be cut back.

Reductions in the program under which interstate highway funds may be transferred to transit projects could stretch the Washington region's Metro subway program out an extra four years, adding $300 million to the cost.

Operating subsidies for the Metro-rail and bus systems for the District of Columbia would be cut $1.3 million, adding either to the need for increasing a local subsidy or for raising fares.

Meyers did not attempt to attach an overall dollar figure to the city's potential losses from the federal government, but said such cuts would have "enormous impact on our social and economic well-being."

In addition to the reductions in specific areas, the summary says the city's financial stability is threatened by uncertainties about the general revenue sharing program.

This is a program, begun during the Nixon administration, in which the U.S. treasury shares part of its tax revenue with the states and cities.

The city can expect to receive $28 million to $30 million for 1980-about the same as in recent years.

But, Barry's summary says, this "means that the 'real' purchasing power [to the District] will have declined by about 30 percent since the program was enacted."

"An overriding concern is the [Carter] administration's uncertainty in extending revenue sharing after next year's expiration," the summary said. If the program were to die, the District's projected gap between revenues and the budget in 1981 would rise from $102 million to $130 million.

On the potential cutbacks in the summer jobs and other federally financed jobs programs, Barry's summary noted.

"The president's approach is the exact opposite of my local objective in D.C. to reduce youth alienation and [to] foster youth work habits and opportunities, thereby reducing crime and building a stronger population for the future."

Jobs programs should be maintained at least at the current levels, Barry said.

The mayor's summary also noted that the president hopes to cut the U.S. payroll by 18,100 jobs-a reduction that "has a particular impact on Washington, D.C.," where the government is the dominant employer.

In his letter to Giaimo, with copies sent to other budget committee members, the mayor said he had the analysis done at the request of the Congressional Black Caucus.

Barry said the city's problems are similar to those faced by other large cities. His attempt to shape national programs represents a shift of policy for the city. Former mayor Walter E. Washington followed a policy of isolating D.C. from the concerns of other cities in hope of getting special treatment for the capital.

Early in his term, Barry said he would join other big-city mayors in pushing for better treatment by the federal government.