President Carter will ask Congress next week to give his new Department of Energy power to set prices for oil and natural gas.

The legislation, which calls for creation of a Cabinet department to coordinate the nation's energy policies, goes to Capitol Hill Tuesday. It would abolish several agenceis - the Federal Power Commission, the Federal Energy Administration, and the Energy Research and Development Administration - and transfer their functions plus energy responsibilities from other agencies to the new department.

Details of the reorganization, the first fundamental change in the federal government since the Department of Transportation was created in 1966, were made available yesterday to The Washington Post.

Sen. Abraham A. Ribicoff (D-Conn.), who will introduce the administration bill, promised that his Governmental Affairs Committee will hold hearings within the next two weeks.

"My feeling is that the President is going to have to fight and fight hard," Ribicoff said.

Congressional sources and leaders of a number of interest groups have expressed concern

Besides getting all FEA, FPC and ERDA functions, the proposed department would receive from the Interior Department regional marketing functions over electric power, now handled by the Bureau of Reclamation and the Interior's four regional power administrations; energy data collection done by the Bureau of Mines; and control over the rate of public land leasing and energy production responsibilities now in the Geological survey and the Bureau of Land Management. The BLM would retain responsibility for actual leasing of public lands.

The new department also would receive:

Authority to set thermal efficiency standards for model residential and commercial building codes now in the Department of Housing and Urban Development.

Voluntary industrial energy conservation programs from the Commerce Department.

Jurisdiction over the Naval Petroleum Reserves and Naval Oil Shale Reserves currently in the Department of Defense.

Securities and Exchange Commission authority to regulate electrical utility mergers.

The Interstate Commerce Commission's oil pipeline rate-making authority.

The new department would also have an advisory role in recommending into efficiency standards to the Transportation Department.

Carter's energy reorganization plan closely follows the outlines of a plan set forth in a campaign statement last Sept. 21.

Abolition of the Federal Power Commission, and Carter's plan to combine regulatory and development functions in a single department are viewed by some congressional sources as the most controversial dimensions of the President's proposal.

Rep. John D. Dingell (D-Mich.), who chairs a key House energy subcommittee, said, "I may have reservations about transferring federal regulatory responsibilities to an old-line Cabinet authority." Dinell, however, said the program "should be enacted as early as possible."

A senior FEA official said, "It would be cumbersome if the pricing and other functions associated with the regulation of crude oil, petroleum products, and natural gas were not embodied in the same department."

Carter's plan would insulate the Energy Department's pricing and allocation functions within an Energy Regulatory Administration and would create a Board of Appeals composed of administrative law judges who conduct hearings on rate and allocation decisions. The Occupational Health and Safety Administration within the Labor Department has a similar body.

Carter is expected to name James R. Schlesinger, top energy aide to head the Energy Department once it is created. Schlesinger has had a major role in forging the reorganization plan, and he and his staff have worked closely with key members of Congress.

A 48-page draft of the legislation, which went to Capitol Hill yesterday, does not state how much the agency will cost or how many employees it will have.

The new department would have a secretary, a deputy secretary, two under secretaries, including one each for conservation environment and energy technology. In addition to the Energy Regulatory Administration there would be an Energy Data Administration. All of the department's senior officers would be presidentially appointed, subject to Senate confirmation.