A California couple accused of kidnapping a Northern California girl when she was 11 and holding her captive for nearly two decades pleaded guilty Thursday, prosecutors said in a statement.

"I'm relieved that Phillip and Nancy Garrido have finally acknowledged their guilt and confessed to their crimes against me and my family," Jaycee Dugard said in as statement.

Phillip Garrido, who fathered the two children of victim Jaycee Dugard, entered the plea Thursday under a surprise deal with prosecutors that calls for a sentence of more than 430 years to life.

His wife, Nancy Garrido, also pleaded guilty in a deal that calls for 36 years to life.

The couple pleaded not guilty earlier this month.

Dugard was snatched off her family's South Lake Tahoe street in June 1991 while walking to a school bus stop.

Authorities said she and her children were kept in a hidden backyard compound of tents and sheds, never attending school or receiving medical attention.

They finally resurfaced in August 2009 when Phillip Garrido took them to a meeting with his parole officer.

The plea deals will spare Dugard, now 30, and her two daughters, ages 13 and 16, from having to testify at a trial.

The Associated Press contributed to this report