The Pentagon announced yesterday that it had drawn up a tentative "hit list" of 107 military facilities in 30 states that may be closed or reduced to save money. Bases in the District, Maryland and Virginia are among those on the list.

Total savings could be $337 million a year, according to the Pentagon, some of which would come from eliminating 8,600 civilian and 14,600 military jobs.

One of the facilities that may be closed is the naval hospital in New Orleans championed by former Chairman F. Edward Hebert (D-La.) of the House Armed Services Committee. The hospital opened only a year ago this month but has been short of patients ever since.

Among the big bases that could be closed are the Armp's training center at Fort Dix, N.J.; the Marines' boot camp at Parris Island, S.C., and Chanute Air Force Base in Illinois.

John P. White, assistant secretary of defense for manpower, reserve affairs and logistics, said at a Pentagon press conference yesterday that it would take between six and 10 months to finish the studies on the bases recommended for closing or reduced operations.

Defense Secretary Harold Brown asked the services to list bases which could be closed or consolidated without jeopardizing vital military missions.

Brown's staff will sift through those recommendations disclosed yesterday and file environmental impact statements where necessary.

Once Brown decides which facilities to close or limit, Congress will have 60 days to review his intended actions.It would take legislation to stop them.

Here are the actions under consideration in the District, Maryland and Virginia as described ny the Pentagon yesterday:

District - The Navy is considering transferring the Chesapeake Division of the Naval Facilities Engineering Command from the Navy Yard to the Philadelphia naval base. This would eliminate 301 civilian and 13 military jobs.

Also under study are Navy recommendations to move the Military Sealift Command headquarters to the Philadelphia naval base, which would mean the loss of 259 civilian and 48 military jobs. The Navy Exhibit Center map be moved from the Navy Yard to the Great Lakes naval training station which would eliminate 13 civilian and 16 military jobs in the District.

Maryland - The Army is studying the possibility of relocating its ordnance center and school at Aberdeen Proving Ground. The Navy has recommended closing its hospital at Annapolis, eliminating 39 civilian and 77 military jobs. The Air Force has recommended that its radar site at Fort Meade be closed down, which would eliminate three civilian and 50 military jobs.

Virginia - Army actions contemplated and the number of jobs at stake include:

Moving the Army Personnel center in ALexandria to Fort Benjamin Harrison, Ind., affecting 1,935 civilian and 980 military positions.

Moving the Military Traffic Management Command offices in Bayonne, N.J., and Oakland, Calif., to the Arlington office, meaning a gain of 228 civilian jobs and one military slot.

Closing most of Fort Monroe in Hampton and moving the training command there to Langley Air Force Base in Virginia or Fort Knox, Ky. The Pentagon said 1,614 civilian and 1,271 military slots at Fort Monroe are at stake.

Shutting down the Army's Applied Technology Laboratory in Newport News and dispersing its activities to other laboratories, eliminating 286 civilian and 18 military jobs at Newport News.

Transferring the Management Engineering Training Agency from Rock Island, Ill., to Fort Lee in Petersburg, a potential gain of 73 civilian jobs.

The Navy is considering these actions:

Moving the Navy Audit Service from Falls Church to the Philadelphia naval base, which would mean the loss of 38 civilian and nine military jobs from this area.

Transferring the Navy Recruiting Command from Arlington to Great Lakes, Ill., moving 182 civilian and 167 military positions out of the area.

Closing the Navy hospital at Quantico and establishing an outpatient clinic there instead, eliminating 39 civilian and 135 military jobs.

The Air Force is considering closing its Cape Charles base at Kiptopeke, which would eliminate 80 military and 25 civilian positions.