Quality Assurance in Drug Testing Act - Amends the Public Health Service Act to prohibit performing toxicological analysis in connection with a drug testing program unless the laboratory performing the analysis is certified under this Act. Directs the Secretary of Health and Human Services to establish a program for certifying laboratories for performing drug tests.

Requires an employer, as a condition of maintaining a drug testing program, to establish a written anti-drug abuse policy and a drug-free awareness program.

Declares that nothing in this Act prohibits an employer from requiring a drug test of applicants and, in certain circumstances, employees.

Sets forth certain employee protections.

Declares that nothing in this Act prohibits an employer from taking action necessary, including termination, in certain circumstances.

Sets forth procedures for employee complaints of unlawful discharge or discrimination.