The celebrity chef confirmed the engagement Thursday on WNBC's New York Live.
Stone, 36, and Price, 35, welcomed their first child, son Hudson, in November. The couple has been dating since 2009.
Stone currently hosts Around the World in 80 Plates and will return as host of Top Chef Masters later this summer. Price, known for her roles on Beverly Hills, 90210 and Lipstick Jungle, most recently guest-starred on CSI: NY last year.