In her filing, she has asked to drop 'Arquette' from her last name.
The 47-year-old actress filed divorce papers on the same day as Arquette's June 8 filing in Los Angeles Superior Court and is representing herself without lawyer, just like her former significant other.
Like Arquette, Cox cited irreconcilable differences and seeks joint legal and physical custody of their eight-year-old daughter Coco, reported People magazine.
David and Courteney met on the sets of "Scream" in 1996, and got married in 1999. When announcing their split two years ago, the couple said in a joint statement, "The reason for this separation is to better understand ourselves and the qualities we need in a partner and for our marriage."
Courteney said in January that she and David have remained "best friends" ever since announcing their separation in 2010.