"We regret that our marital relationship has come to an end and we have agreed not to make any other public statement on this subject," the couple said in a joint statement released by Spitzer spokeswoman Lisa Linden, the New York Post reported.
Spitzer, 54, has been dating former spokeswoman Lis Smith, 31, who is currently New York Mayor-elect Bill de Blasio's chief spokeswoman, the Post said.
Spitzer resigned as governor in 2008 after admitting he routinely hired high-price prostitutes. He ran an unsuccessful campaign for New York City comptroller last fall.
Celebrity Families of 2014 [PHOTOS]