It comes after Belgium's David Goffin had chewing gum spat at him during a match against France's Giovanni Mpetshi Perricard.
Earlier this week defending champion Iga Swiatek pleaded with fans to keep quiet during points and not to shout out.
"First of all, we are happy people are very enthusiastic about watching tennis and being part of the matches, showing feeling and emotions," said , said tournament director Amelie Mauresmo.
"But there are definitely steps which shouldn't go further. A few things have needed to be put in place."
"Alcohol has been allowed up until now in the stands - but that's over," Mauresmo said.
While alcohol will be banned in the stands, it will continue to be available on the concourses and around the grounds.
As well as the booze ban in the stands, Mauresmo said chair umpires will be stricter in asking for respect "to the players and to the game".
-BBC