Authorities say the family has been notified. An official identification of the body will be done by the coroner's office.
Ivens, 35, was last seen on May 10 near his home in the 1700 block of Scott Road.
On Monday night, two hikers walking in the foothills above Burbank smelled a suspicious odor in the 3600 block of Scott Road. They found what appeared to be human remains and immediately called police.
Police said a weapon was recovered at the scene.
Before becoming an FBI agent three years ago, Ivens was an officer with the Los Angeles Police Department for eight years. He has a wife and a 1-year-old baby.