A Fairfax County Circuit Court jury has awarded $60,000 to the mother of a 16-year-old girl in a suit against Dr. Joseph S. Salama, a psychiatrist convicted last year of the statutory rape of the girl and of illegally prescribing drugs for her.

In the one-day trial, the girl testigied that two years ago Salama gave her sedatives and tranquilizers in exchange for sexual favors.

The jury of five men and two women deliberated for only one hour before awarding the girl's mother $50,000 in punitive damages and $10,000 in compensatory damages. The woman had filed the suit for her daughter's behalf because the girl is a minor under Virginia law.

Salama 58, who used to practice psychiatry in the Mount Vernon area of Fairfax, is serving a seven-year sentence on the Virginia State Penitentiary. He was given six years in prison on the rape charge and one year for the drug violation. He will eligible for parole late next year.

Salama's attorney, Martin Fogel, said yesterday that it is unlikely that much of the money awarded Tuesday will be paid because Salama "is broke." Fogel said that the physician has no insurance and that he spent all his savings last year in legal fees for his defense from criminal charges.

The girl, who was the only witness at the trial Tuesday, testified that she went to Salama's office for sex 15 times between September 1976, and February 1977.