Abstract: In the process of the invention for manufacturing cooked pressed cheeses from raw milk, in the course of the phase of preparation of the milk before renneting, an acidogen selected from the group consisting of gluconolactones and glucoheptonolactones is added to the milk in an amount sufficient to attain simply and reliably, in a predetermined time, the exact predetermined renneting pH comprised between 6.70 and 6.40. The acidogen is advantageously gluconodeltalactone. The process is applied in the manufacturing of cooked pressed cheeses with mastery of the acidification phase of the milk.