Jon Myers, a spokesman for California's Victim Compensation and Government Claims Board, says Dugard, her two daughters and her mother, Terry Probyn, each have filed claims with the board.
The claims say failures by corrections officials led to psychological, physical and emotional damages in excess of $25,000.
Phillip Garrido and his wife Nancy have been charged with kidnapping Dugard in 1991 and holding her captive in their backyard for 18 years. Garrido also allegedly fathered two children with the girl.
Parole agents with the department of corrections began supervising Phillip Garrido in 1999, but failed to discover Dugard.
California corrections officials say they're working to improve the monitoring of released sex offenders, responding to a scathing report released last November.
Department of Corrections and Rehabilitation Secretary Matthew Cate said that legislation taking effect in January should help reduce caseloads and create a risk-based supervision model to ensure the most dangerous offenders receive the closest watch.
"I think that the department's obligation today is to try to take each one of these missteps and try to learn from it and make sure that our agents are aware of these kind of circumstances so that we can to our best to make sure it doesn't happen again," Cates said on CBS' "The Early Show".