A method for producing a fermented milk said method comprising: step (1) for preparing a fermented milk mix from a starting milk material step (2) for sterilizing the fermented milk mix by heating and step (3) for adding a starter to the heat sterilized fermented milk mix and fermenting the same. The aforesaid method whereby a fermented milk with good qualities namely showing controlled physical changes (occurrence of water separation an increase in the diameter of milk protein grains and roughening of the texture caused thereby) accompanying the coagulation of milk proteins during refrigerated storage or distribution can be produced is characterized by comprising at least one treatment selected from (A) to (C): treatment (A) comprising in step (1) adding glucose oxidase to the starting milk material which contains a substance that is available as a substrate for glucose oxidase and then preparing the fermented milk mix treatment (B) comprising before step (3) adding glucose oxidase and a substance that is available as a substrate for glucose oxidase to the heat sterilized fermented milk mix and treatment (C) comprising after step (3) adding glucose oxidase and a substance that is available as a substrate for glucose oxidase to the fermented milk.