President-elect Jimmy Carter today spent his last full day at his home here before his inauguration, finishing work on his inaugural address and supervising the loading of personal belongings for shipment to Washington.

Carter's press secretary, Jody Powell, said the new President's first address to the nation will be briefer than most inaugural speeches, running 15 minutes or less.

"He [Carter] sees it not as a proper time to detail programs but to state as simply and directly as possible the basic principles and goals of the administration," Powell said.

Powell also indicated that one theme Carter will strike in the speech will be the need for sacrifice.

"It is a speech which sets a realistic tone for the immediate future," Powell said.

Aside from work on this speech, Powell said Carter and his wife, Rosalynn, spent the morning helping move personal belongings out of their large, rambling home here and cleaning up the house after the movers had left for Washington early this afternoon. The shipment, which was loaded onto a rental truck, consisted mostly of clothes and books, plus toys that belong to the Carters' daughter, Amy.

Powell also confirmed a report by columnist Jack Anderson that in 1970, Carter's son jack received a general discharge from the Navy for having smoked marijuana. The incident took place while the younger Carter was a student at the Navy nuclear power school in Idaho Falls, Idaho.

The President-elect, as he has for the past several days, remained in his home throughout the day, shielded from public view. He had no scheduled appointments.

Carter aides here announced this afternoon the appointment of two persons to the Council of Economic Advisers. They are William Nordhaus, 35, a professor of economics at Yale University, and Lyle E. Gramley, 50, director of the division of research and statistics of the federal reserve system.

Later, Carter named John F. O'Leary, administrator of New Mexico's Energy Resources Board, as his choice for administrator of the Federal Energy Administration.

O'Leary, 50, was appointed director of the Interior Department's Bureau of Mines by President Johnson in 1968. He was fired by President Nixon in 1970.

Meanwhile, in Washington, Carter's nominee of Secretary of the Treasury, W. Michael Blumenthal, nominated three top aides.

Kenneth S. Axelson, a senior vice president and director at J.C. Penney Co., was nominated as deputy secretary, the No. 2 official at Treasury. Anthony M. Solomon, special consultant to the House Ways and Means Committee and a former assistant secretary of state for economic affairs, was selected for the post of under secretary for monetary affairs.

Blumenthal's third selection was C. Fred Bergsten, a former senior fellow at the Brookings Institution, who was chosen to be assistant secretary for international affairs.

All of the nominations must be confirmed by the Senate.

Carter and his family are to leave Plains at 2 p.m. Wednesday for the 45-minute drive to the airport at Albany, Ga., about 40 miles south of here. Before leaving Plains, Carter is expected to say goodbye to a large contingent of local residents traveling to Washington for the inauguration aboard a train that will leave from the Plains depot.

Carter and his family are scheduled to arrive at Washington National Airport at 4:30 p.m. Wednesday. They will go immediately to Blair House - where they will stay overnight - before beginning the round of official inaugural activities by attending the Inaugural Gala at the Kennedy Center Wednesday evening.