Anthony Anderson was a man of no words Saturday morning ... on the subject of the criminal assault investigation in which he is listed as a suspect.

We got the "Black-ish" star Saturday at LAX at the crack of dawn and asked about the woman who filed a police report claiming he assaulted her months ago. Anthony's rep was clear ... her claim is BS and Anthony has not been contacted by cops.

Anthony walked to his gate in a shirt emblazoned with the words, "Blessed AF."