On Monday prop Rhys Thomas and his Newport Gwent Dragons team-mate Rhodri Gomer Davies were reprimanded and cautioned after they were involved in a fracas outside a nightclub in Italy, while on the same day Ospreys centre Gavin Henson was charged with a public order offence after an alleged disturbance on a London to Cardiff train on December 2.
"Anyone I have spoken to said they felt strongly there is not a drinking culture in Welsh rugby," Gatland told the Daily Mail.
"Sometimes boys do have a few too many drinks. I have no problem with players having a couple of beers, but we don't want to see incidents in the media as a result.
"If it does keep happening then it is something we have to eliminate.
"But I'm not going to ban the players from ever having a drink. I've seen New Zealand teams impose draconian measures before and they have backfired."