|Full name||Gianni Alessio Bui|
|Date of birth||May 5, 1940|
|Place of birth||Serramazzoni, Italy|
|Height||1.85 m (6 ft 1 in)|
|* Senior club appearances and goals counted for the domestic league only|
Gianni Alessio Bui (born May 5, 1940 in Serramazzoni) is an Italian professional football coach and a former player, who played as a forward.
Bui played 11 seasons (188 games, 53 goals) in the Italian Serie A for S.S. Lazio, SPAL 1907, Bologna F.C. 1909, Hellas Verona F.C., Torino Calcio and A.C. Milan.