The statement comes after two incidents involving Team Sky riders. Richie Porte claimed someone in the crowd punched him on stage ten, while race leader Chris Froome said that he had a cup of urine thrown in his face on stage 14.
"The UCI and Amaury Sport Organisation (A.S.O), organiser of the Tour de France, have made a joint appeal to cycling fans, asking them to respect the riders," read the statement.
"The peloton of the 102nd edition of the Tour de France enters a decisive phase of the race as it enters the Alps, where the riders require optimal conditions in order to perform to their best before arriving in Paris on Sunday.
"UCI President Brian Cookson and Tour de France Director Christian Prudhomme ask crowds along the roadside to respect every rider, and the integrity of the riders and in particular the Yellow Jersey.
"The UCI and A.S.O publicly regretted the aggressions suffered by the leader of the overall classification from some spectators during the 14th stage between Rodez and Mende, while at the same time thanking the large majority of the public which respects the athletes."