A female officer with the Maryland-National Capital Park & Planning Commission park police in Prince George's County has filed suit against the department and the park police union, accusing them of sex and race discrimination in promotion and training programs.

The suit, filed Thursday in Prince George's Circuit Court by Sharon Dameron, claims that the force has no female officers holding the rank of sergeant or higher. The suit also contends that the department has used quotas to hire and promote black and other minority males but has not used quotas to hire and promote females.

Arthur S. Drea, general counsel for the park and planning commission, was not available for comment. D.S. Sastri, Drea's assistant, did not return a phone call.

The suit also contends that the Fraternal Order of Police Lodge 30, which represents county park police, has failed to try to eliminate sex discrimination in the department during contract negotiations with the county.

The suit asks that Dameron be granted a promotion to sergeant for which she qualified after taking the sergeant's examination in June 1985, and be given back pay from December 1985. It also asks for unspecified compensatory and punitive damages.