Actress Kate Hudson and her husband, Black Crowes singer Chris Robinson, are splitting, PEOPLE has learned exclusively.

A rep for the "You, Me and Dupree" star confirms that the couple are separating after nearly six years of marriage.

Hudson, 27, and Robinson, 39, wed on New Year's Eve 2000 after dating for about a year. Their son, Ryder Russell, was born Jan. 7, 2004.

In September 2004, while shooting "Skeleton Key" in New Orleans, Hudson told PEOPLE about her relationship with Robinson since Ryder's birth: "We're sharing something so gigantic now. I think it's the best we've ever felt being together."