The game, which took place on the field of the San Siro Stadium, ended with a score of 2:0 in favor of Stefano Pioli's team.
The goals were scored by Rafael Leau (11th minute), Junior Messias (87th).
AC Milan (71 points) lead Serie A. Genoa (22) is 19th in the standings.
Earlier it was reported that Inter beat Spezia in the Serie A match.