To provide a process to improve acid resistance of a glass substrate for an information recording medium. A process for producing the glass substrate for an information recording medium, includes processing a glass formed into a plate by a float process, a down-draw method or a press method, wherein, in cooling the glass at the last step the glass has a temperature of at least its strain point, the time during which the glass temperature is at least its strain point and at most a temperature where the glass viscosity is 1010dPa·s is at least 13 minutes.