Family Justice Act of 2010 - Amends the Juvenile Justice and Delinquency Prevention Act of 1974 to authorize the Administrator of the Office of Juvenile Justice and Delinquency Prevention to award grants to family-oriented nonprofit organizations to establish panels to monitor juvenile detention and correction facilities to provide detained youth and their family members an opportunity to participate in the development of policies, procedures, and practices that will improve outcomes for youth and promote rehabilitation and transition back into the community. Sets forth requirements for grant applications and for uses of grant funds.