Attorney Brian King said Wednesday that Annie Le's family is questioning whether Yale officials properly investigated suspect Raymond Clark III's background before hiring him as a technician at a lab building where Le also worked.
A spokesman says an aunt and uncle who raised Le in California are not part of the lawsuit.
The 24-year-old Le's body was found stuffed behind a wall at the lab on Sept. 13, 2009. Clark is charged with killing her.
He has pleaded not guilty to murder charges.
A Yale spokesman says the school hasn't been notified of any anticipated lawsuits.