The 'Constant Craving' singer has filed paperwork in California to dissolve the couple's domestic partnership, according to TMZ.
Lang and Price apparently met through a Buddhist teacher in 2003.
The musician most recently recorded a version of 'Blue Velvet' with Tony Bennett, which was featured on the crooner's Duets II album .
Bennett and Lang previously collaborated on the 2002 album A Wonderful World.
Four-time Grammy winner Lang, who performed at the 2010 Winter Olympics, released her 13th solo album Sing It Loud last year.
Watch KD Lang and Tony Bennett perform 'Blue Velvet' below: