The American Federation of Teachers will move its national headquarters to an office and hotel complex on Capitol Hill which is supposed to be complete in 1984.

Construction of Capitol Place, to be located at F Street and New Jersey Avenue NW, is scheduled to begin in September. The teachers' union has leased about 100,000 square feet of space in one of three buildings that will surround a central atrium.

The federation plans to occupy about 50,000 square feet and sublet the remaining space.

The hotel, which the federation said will be operated by a national chain, will have 265 rooms and banquet facilities for 500 people.

Capitol Park was designed by local architect Vlastimil Koubek. It is being developed by Blum, Frank and Kamins Cos. Inc.

Other recent developments in commercial leasing in the Washington area:

* Hudson Supply Corp., a construction supply distributor, has leased 63,000 square feet of space at 6700 Distribution Dr. in Beltsville, where it will relocate its corporate headquarters. The lease value is $1.1 million.

* Stanley Martin Communities Inc. of Silver Spring has begun development of the 392-acre Nemazee Tract located at Route 118 and Middlebrook Road near Germantown. Construction of 2,763 townhouses and garden apartments is planned, in addition to over one million feet of office and retail space. The housing units will surround a 30-acre lake. The community will be called Gunner's Lake Village.

* Agri-Tech International Inc. has leased 1,785 square feet of space at 4733 Bethesda Ave. in Bethesda. At the same address, Ryan Contracting Co. has leased 1,662 square feet and Washington APR Inc. has leased 938 square feet.