Life is becoming less simple for Nicole Richie (search). The co-star of the FOX reality show, "The Simple Life," has become engaged to her boyfriend of one year, disc jockey Adam Goldstein, her publicist, Cindy Guagenti, announced Tuesday.

It will be the first marriage for 23-year-old Richie and Goldstein, whose professional name is DJ AM.

A wedding date wasn't announced.

Richie, the daughter of R&B star Lionel Richie (search), is co-starring with Paris Hilton (search) on the third season of "The Simple Life."