PRIVATELY owned homes designed by Winthrop Faulkner and Hugh Newell Jacobsen and well-known landmarks such as Mount Vernon and River Farm can be seen this spring at the various house and garden tours to be held in the District, Maryland and Virginia.

IN THE DISTRICT

As early as 1899, Cleveland Park in northwest Washington was advertised as "Washington's choicest suburb." President Grover Cleveland chose the area as his summer residence. From 1 to 5 p.m., April 25, seven of Cleveland Park's turn-of-the-century homes will be open. Several have been remodeled recently by Washington architects. The walking tour will begin at the National Child Research Center at 3209 Highland Place NW., a Georgian Revival structure built in 1905 as a private residence. The tour benefits the center. Tickets are $8 in advance and $10 the day of the tour. Call 363-8777.

Twelve gardens will be included in the 1982 Georgetown Garden Tour, April 24, 10:30 a.m. to 5 p.m. The tour benefits the Georgetown Children's House, a day-care center for low-income families. Dumbarton Oaks, the Italianate gardens of "Evermay" and the six-level garden and pool of the Averell Harrimans will be shown. Among this year's garden designers are Robert Engelen and James van Sweden. Tickets are $7 in advance, $7 the day of the tour (children under 12 free). They can be purchased at the Children's House, 3224 N St. NW or at each garden gate. A limited shuttle service is available, as are box lunches, for $5. Call 333-4953.

The Georgetown House Tour, sponsored by St. John's Church, will be April 17 and 18, noon to 5 p.m. Six homes will be open. Tickets are $10 each day or $9 for groups of 20 or more. Tickets may be bought at the church, 3240 O St. NW. Call 338-1796.

The Annual Goodwill Industries Guild Embassy Tour will be held May 8, 11 a.m. to 5:30 p.m. Scheduled for the tour this year: the embassies of Indonesia, Sri-Lanka, Egypt, Portugal and Oman, as well as the Meridian House International, the Congressional Club and the Inter-American Defense Board, also known as "the Pink Palace." Tickets are $12 per person. A luncheon ($6) is available by reservation only. Call 530-4318.

MARYLAND

Chevy Chase Village, one of this country's first planned suburbs, will hold its ninth annual house tour April 17, noon to 5 p.m. Seven homes built between 1890 and 1925, ranging from Georgian to Spanish Revival architecture, will be shown. Tea will be served to visitors in the Great Hall of Ishpeming, an 1890s mansion with painted Bavarian ceiling and built-in pipe organ, owned by Dr. and Mrs. John Threlfall. The tour will begin at the Village Hall, 5906 Connecticut Ave., NW. Tickets are $7 in advance, $8 the day of the tour. Fees will benefit the Citizens Coordinating Committee on Friendship Heights. Reservations and group rates are available by calling 656-2416 or 654-2996; or by writing, 113 Oxford St., Chevy Chase, Md. 20815.

The 45th Annual Maryland House and Garden Pilgrimage will hold its house tours April 24 to May 9 with a cruise on May 15. More than 75 sites will be open including architectural styles ranging from early 18th century to contemporary.

Prince George's County, April 24

St. Mary's County, April 25

Roland Park (Baltimore) April 29

Anne Arundel County, May 1

Queen Anne's County, May 2

Green Spring Valley (Baltimore County), May 6

Cecil County, May 8

Talbot County, May 9

Chesapeake Bay cruise and tour of Oxford, May 15

Tour hours: 10 a.m. to 5 p.m. Tickets are $10 or $3 for a single house. Cruise tickets are $30 and must be reserved. Call (301) 821-6933.

The Prince George's County House and Garden Tour on April 24 will include the 18th-century Georgian-style Montpelier Mansion and the Montpelier Cultural Arts Center; the Sidespinner House in College Estates, part of an original Colonial land grant; and the 200-year-old St. Barnabas Church. Lunch ($4.50) will be available at the historic Rossborough Inn, College Park. Call 490-2226 or 776-7636.

Takoma Park will hold its 10th annual house and garden tour May 2, 1:30 to 5 p.m. Victorian architecture and many versions of the bungalow will be shown. Tickets ($4 in advance, $5 the day of the tour) can be purchased at the Takoma Park Recreation Department, 7500 Maple Ave., Takoma Park. Call 270-4048.

The Landon Azalea Garden Festival will be held April 30 and May 1 and 2, 10 a.m. to 5 p.m. each day at the Landon School, 6101 Wilson La., Bethesda. The three-day event will include tours of the gardens and the 180-year-old farmhouse, where the school's founder once lived. An antique show also will be held with appraisals on Saturday. The festival is free, but $2 admission will be charged for the antique show. Appraisals will cost $6 an item. Call 320-3200.

Laurel will hold a tour of its historic homes May 22, 10 a.m. to 5:30 p.m. The tour will begin at City Hall, behind Main Street between C or B streets. In addition to private homes, the tour will include several 19th-century mills. Call 776-2854 for ticket details.

VIRGINIA

Historic Garden Week in Virginia is April 24 to May 2. Coordinated by the Garden Club of Virginia, house and garden tours of the following areas will be:

Albemarle County, April 24 through 26 and April 30, May 1

Albemarle-Country Tour, April 27 through 29

Alexandria, April 24

Ashland, April 24

Franklin, April 24

Roanoke, April 24 and 25

Warren County, April 24 and 25

Winchester-Clarke County, April 24 and 25

Chatham, April 25

Fauquier-Loudoun County, April 25 and 26

Fredericksburg, April 27

James River Plantations, April 27 through May 1

Lexington, April 27

Lynchburg, April 27

Petersburg, April 27

Richmond, April 27 through 29

Virginia Beach Resort Area, April 27

Williamsburg, April 27

Harrisonburg, April 28

Martinsville, April 28

Newport News, April 28

Norfolk, April 28

Northern Neck, April 28

Danville, April 29

Suffolk, April 29

Virginia Beach-Princess Anne Tour, April 29

Eastern Shore, April 30 and May 1

Fairfax, April 30

Gloucester, April 30 and May 1

Staunton, April 30 and May 1

Orange, May 1 and 2

Brunswick County, May 2

The tours vary in price from $3 to $10 for a block of tickets. Single homes will cost about $2, while the plantations are about $3.50. The Garden Club publishes a guide book giving detailed descriptions of the homes and gardens. It is available from the Historic Garden Week Headquarters, 12 East Franklin St., Richmond, Va. 23219. The club would appreciate $1 toward the cost of postage. Call (804) 644-7776.

As part of Historic Garden Week, Alexandria's April 24 tour will include seven privately owned homes and four public buildings (River Farm, headquarters of the American Horticultural Society; Mount Vernon; the Athenaeum; and the trust department of the Burke & Herbert Trust Company). Tickets are $8 and can be bought at the Alexandria Tourist Council, 221 King St., Alexandria, or at the private homes. No tickets will be available at the public buildings. Diane Bechtol of the Tourist Council says that in addition, on the same day, a quilt show will be held at Gadsby's Tavern; a Seaport Festival will take place on the waterfront; and an azalea festival will be held at Fort Ward Park. Call 549-0205.

Garden Week began in Fredericksburg in 1929 to raise money for the restoration of Kenmore, the 18th-century mansion of Betty Washington Lewis, George Washington's only sister. Fredericksburg's tour on April 27, 10 a.m. to 5 p.m. will include the 18th-century estate, the Gari Melchers Memorial Gallery and the St. George's Episcopal Church built in 1732. The church is known for its fine stained-glass windows. Tickets are $8 for a block or $2 per home. They can be bought at the Fredericksburg Visitor Center. Call (703) 373-1776.

Doorways to Old Virginia is offering walking tours of Old Town Alexandria for students, grades three to six. The tours will continue throughout the spring and cost $1 a person. Call 548-0100.

Tours of the stables and hunting grounds in Middleburg and Upperville will be held May 29 and 30. Sponsored by the Trinity Episcopal Church in Upperville, the stables on view will include those of the Paul Mellons, the Jack Kent Cookes and the James C. Woffords. The Middleburg Training Track will open each day at 8 a.m. The innovative Middleburg Equine Swim Center--a swimming pool for horses--also will be open. The "grand dame of the hunt country," Mrs. A. C. Randolph, will open her three farms (Oakley, Salem and Diamond Hill) as well. Block tickets are $10. Call (703) 592-3343 or (703) 687-6864.