Commercial construction in Tysons Corner is booming, and yet another top Washington company, BDM International Inc., has announced plans to build its multimillion-dollar headquarters there.

According to West Group Associates, construction will begin this March on a 220,000-square-foot corporate headquarters in the West Park Office Complex, which BDM International Inc. plans to lease.

The building is designed by Hellmuth, Obata and Kassabaum, the architects of The Smithsonian Institution's Air and Space Museum and the Mobil Oil Co. headquarters.

It will feature office space, computer facilities, laboratories and a full-height atrium.

"Northern Virginia, and particularly this area of Tysons Corner/McLean, has proved to be one of the fastest growing high-technology centers in the nation," said Stanley E. Harrison, executive vice president of BDM International Inc. "And BDM International Inc. is growing along with it."

BDM is one of the area's largest professional and technical services company, and has grown from 300 employes in 1960 to more than 4,000 employes worldwide this year.

It will expand its current office space in the West Park Complex after the opening of its headquarters, scheduled for July 1987.

The West Park Office Complex presently includes more than 2 million square feet of office space in 17 buildings.

It also has 170 acres of land zoned for an additional 3.5 million square feet of office development and 1,000 residential units.

Other recent developments in commercial realty in the Washington metropolitan area:

*An investment syndicate headed by JBG Real Estate Associates bought the Indian Creek Center in Loudoun County for $5.52 million. Major tenants at the 100,000-square-foot warehouse and office complex include Western Union and Superior Iron Corp.

*Joe Theismann's, a restaurant and bar, leased 7,814 square feet at the King Street Station in Alexandria. Its estimated aggregate lease value is $2.5 million.

*Omni Construction Inc. has begun construction on an office building at 1400 L St. NW for 14L Associates. The 12-story, 237,000-square-foot building is scheduled for completion in mid-1987.

*Construction has been completed on a 46,000-square-foot office building at 1146 19th St. NW. The $15 million building has approximately 6,900 square feet of retail space and 39,000 square feet of office space available for lease.

*Arnell Corp. is scheduled to begin construction this spring on two priority projects in Prince George's County: Laurel Lakes Corporate Center and Annendale Business Campus. Laurel Lakes, at Rte. 1 and Laurel Lake Court, will feature three buildings with a total of 176,580 square feet of office, research and development and distribution space.