President Carter said yesterday he would nominate Ford Foundation official Anita Miller to be a member of the Federal Home Loan Bank Board which regulates the nation's savings and loan industry.

Miller, 47, would be the first woman ever on the three-member bank board. The administration is also actively considering women as candidates for the seat on the Federal Reserve Board vacated last week by former chairman Arthur F. Burns.

Miller is a senior program officer in the Ford Foundation's division that funds about 20 programs in the field of housing, urban development and neighborhood conservation.

Savingss and loan associations are the primary source of home mortgage money. The Federal Home Loan Bank Board, under its chairman RObert H. McKinney, has been pushing the associations into making more loans in the inner city.

The bank board also will play a role in the urban policy initiative announced by President Carter last week that is designed to co-ordinate federal assistance to distressed areas like the inner city.

Miller has been with the Ford Foundation since 1972 in its department of urban and metropolitan development. From 1964 until she joined the Ford Foundation she was a staff consultant on social action and interreligious affairs for the American Hebrew Congregations.

From 1959 until 1964 she was founder and first chairman of the Rhode Island Conference on Intergroup Relations.

Miller had responsibility for the Ford Foundation's role "in assisting the development of a series of Neighborhood Housing Services programs," according to a White House back-ground statement on Miller.

"Here partnerships between community residents, lenders and city officials are created for the purpose of revitalizing urban neighborhoods," the statement said.

She was also responsible for Ford programs aimed at bettering management of apartment complexes that serve families on public assistance and guided two joint demonstration programs with the Department of Housing and Urban Development.

Miller, who lives in Risgewood, N. J., is on the bank board's advisory council and is on the advisory committee to the New York City Department of Housing Preservation Development.