The D.C. Public Library will be able to obtain up to $78,750 in private funds for books during 1982 under a citizen matching grant program from the National Home Library Foundation.

Under the grant program, the foundation will provide two-for-one grants for books for each of the District's 21 libraries for which a Friends of the Library citizen support group raises $500 to $1,250 during 1982. Library support groups must incorporate and raise at least $500 during 1982 to qualify for the grants.

Mayor Marion Barry has called on residents to "accept the foundation's challenge, so that we may build further our inventory of excellent library books."

D.C. Public Library Director Hardy R. Franklin said citizen support for the city's libraries has grown dramatically during the past two years, and the grant program "will accelerate that movement."

The library's budget for books in the 1982 fiscal year is $726,700, which is less than in any year since 1978, officials said. This will cover the purchase of 80,000 new and replacement books, compared to more than 90,000 in previous years.

If the maximum amount of funds are raised under the matching grant program in 1982, the library will be able to buy an additional 8,500 books.

For information, call Lawrence Molumby at 727-1101.