A method for production of cheeses with spun curd from pasteurized milk, includes the successive steps of preparation of the milk, renneting, coagulation, curd-cutting, drainage and spinning, characterized in that during the phase of preparation of the milk which has a low content of exogenous calcium salts, the milk is thermally treated at a temperature between 80 and 85° C. and an effective amount of an acidifying agent is added before or after the thermal treatment.