NEW YORK (AP) _ Tawana Brawley, the black teen-ager whose allegations of abduction and rape by a gang of white men sparked months of controversy, has moved with her family to Virginia, according to published reports today.

The family has stayed out of New York for the past several weeks to avoid the arrest of Tawana's mother, Glenda Brawley, who was sentenced to 30 days in prison for refusing to testify before a grand jury investigating her daughter's case. They were reported to be living in a luxury apartment in Virginia Beach, Va.

Following the advice of the Rev. Al Sharpton and lawyers C. Vernon Mason and Alton Maddox, family members have refused to cooperate with investigators. They maintain that minorities are discriminated against in the criminal justice system.

Ralph King, who lives with Mrs. Brawley, answered the phone at the Virginia residence on Tuesday, The New York Times reported. When asked if the family had relocated South, he replied: ''I'm here, ain't I?''

When asked if Miss Brawley had transferred to high school there, King responded, ''I don't know. You'll have to find out. Come over here and find out.'' According to the New York Daily News, Miss Brawley is attending Floyd E. Kellam High School.

The Brawleys' new home includes free racquetball, pool, whirlpool, sun deck, jogging trail, volleyball and clubhouse, the Daily News said. Apartments run from $550 to $600 monthly.

Miss Brawley was found inside a plastic garbage bag last November in Dutchess County with excrement smeared and racial epithets written on her body.

State Attorney General Robert Abrams was named special prosecutor and a grand jury began investigating her charges, but it has been thwarted by the family's refusal to appear before it.

The grand jury is expected to issue a report on its seven-month investigation within the next several weeks, but Abrams has said it has not been able to substantiate Miss Brawley's claims. The jury reportedly voted to subpoena the girl, but she has stayed out of state to avoid being served with a summons to testify.

Timothy Gilles, Abrams' spokesman, said the 30-day jail sentence against Mrs. Brawley ''will continue to hang over her'' and the state may consider extradition proceedings.