The Washington Sheraton Corporation has won a round in its fight with Woodley Park residents to rebuild the old Sheraton Park Hotel at Connecticut Avenue and Woodley Road NW.

The D.C. Board of Zoning Adjustment last week approved the corporation's application for two variances needed in the rebuilding of the hotel, which will be renamed the Washington Sheraton when it is completed. The variances would allow the construction of another roof structure and a narrow closed court.

The rebuilding of the hotel has been opposed by a coalition of residents, who call themselves the Task Force on the Rebuilding of the Sheraton Park Hotel. The task force claims that the current plans for the project will add to traffic and parking problems in the neighborhood.

During the BZA hearing last week, hotel officials testified that they could rebuild the hotel using alternate plans, but that without the variances another $700,000 would be added to construction costs.

Lindsley Williams, a member of the task force, then asked the BZA to require the corporation to use the $700,000 it would save by having the variances for some community purpose.

The BZA, however, granted the variances without conditions.

In other zoning actions last week, the BZA:

Granted the application of Arthur Trivers for variances to construct a rear addition to a building at 726 Seventh St. SE.

Granted the application of Hoyce Rowerson for variances to convert two single-family dwellings into one dwelling at 1129-31 Third St. NE.

Granted the application of Frank E. Smith for a special exception to convert the first floor of a building at 337 K St. NW, in a residential zone, from a barber shop to a real estate office, but denied a special exception to convert the second floor of the building from residential to office use.

Denied the application of William H. Ballard Sr. and William H. Ballard Jr. for a variance to use a building at 1320-1322 Fifth St. NW, in a residential zone, as a 7-11 store, a laundromat and a storage facility.

Denied the application of Stephen B. Naylor and Barbara A. Levi for a variance to convert a stable in an alley behind 636 Q St. NW into a residence.

Granted for one year the application of Frederick Richmond and Washington Mortgage Investment Corp. for a special exception to continue the use of a parking lot in a special purpose zone at 1613, 1615 and 1617 New Hampshire Ave. NW.

Granted the application of United Virginia Bank for a special exception to operate a parking lot in a special purpose zone at 1104 13th St. NW, but denied a variance to permit all-day commuter parking, rather than short-term parking, on the lot.

Granted the application of Michael and Margaret Baylinson for a special exception to use the first floor of a building at 2016 Franklin St. NE as a day care nursery.

Granted the application of Bart Bren Inc. for variances to convert two four-unit apartment houses into four single-family dwellings at 1229-35 D St. NE.

Granted the application of Jonathan Woodner Co. for a special exception to continue to operate a parking lot in a residential zone at 1634 Oak St. NW.

Granted the application of Himmelfarb Realty Inc. for a variance to use the premises in a commercial zone at 1736 Rhode Island Ave. NE as a used car sales lot.

Denied the application of Vincent O. Farguharson for a special exception to convert a retail grocery store in a residential zone at 90 O St. NW to a delicatessen.

Granted the application of Llewelyn Thompson for a variance to build a rear addition to a flat at 155 11th St. NE.

Granted the application of Grant Park Limited Partnership for a variance to construct a nursing home in a residential zone at 5051 Hayes St. NE.

Denied the application of Friends Meeting of Washington for a special exception to use the first floor of a building in a residential zone at 2111 Florida Ave. NW as a day care center.

Granted the application of Avyeris and Elly Andonyadis for a variance from the off-street parking requirements to use a building at 2007 Kalorama Rd. NW as an apartment house.

Granted for two years the application of Thaddeus A. Lindner for a special exception to continue the use of a parking lot in a residential zone at 1021-33 22nd St. NW.

Granted the application of Ted N. and Mary M. Tschudy for a variance to construct a rear addition to a house at 4646 Greene Place NW.

Granted for five years the application of Review and Herald Publishing Association for a special exception to continue operating a parking lot partly in a residential zone and partly in a commercial zone at 6935 Maple St. NW.