Kerry Washington & Nnamdi Asomugha -- No Divorce ... Still Tight

Kerry Washington and Nnamdi Asomugha will remain husband and wife ... despite a bunch of stories to the contrary.

Multiple sources connected with the couple -- 3 of whom have no agenda -- tell TMZ the divorce stories are not true. As one source put it, "They live like a normal couple, and when you're around them or on the phone with them they're clearly into each other."

Washington and the ex-NFL star married 2 years ago and have a 1-year-old daughter.

Our source points out they were together on Saturday at the Kennedy Center Honors banquet.

Adding, "If they divorce it'd be the most shocking split in a long time. It's just not happening."