The Carondelet Health Network has agreed to pay $35 million to resolve allegations that its Tucson hospitals submitted false claims to Medicare and other federal health care programs, authorities say.

The network is an Arizona nonprofit corporation that does business in Tucson as Carondelet St. Mary's Hospital and Carondelet St. Joseph's Hospital.

The two hospitals improperly billed Medicare, the Federal Employees Health Benefit Program and the Arizona Health Care Cost Containment System for inpatient rehabilitation services, a news release from the U.S. Attorney's Office says.

As a result of these false claims, federal health care programs paid substantially more than was warranted, the release said.

The settlement resolves false claim allegations from the hospitals from April 7, 2004 through Dec. 31, 2011, the release said.