Anne Heche has split from her cameraman husband Coley Laffoon, the star's rep confirms to PEOPLE.

The couple "have decided to separate after five years of marriage," the actress's rep said in a statement Wednesday. "They have requested that they be allowed their privacy at this time."

Laffoon, 33, and Heche, 37, wed in 2001, and have a 4-year-old son, Homer.

Entertainment Tonight has reported that the Men in Trees actress is romantically involved with her costar, James Tupper. Heche's rep had no comment on the relationship. Tupper split from his wife in November, according to ET. His rep had no comment when reached by PEOPLE.

Heche dated Ellen DeGeneres for several years before the couple broke up in 2000. In 2001, she published an autobiography, Call Me Crazy, in which she detailed her struggles with mental illness.

In October, Heche told PEOPLE she was happy in her married life. "You hopefully have a journey where you can get healthy and find love, and fortunately I did," she said.