Abstract: In the process of the invention for manufacturing soft cheeses from raw milk, in the course of the phase of preparation of the milk before renneting, an acidiogen 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 6.0 and 6.6, preferably between 6.0 and about 6.5. The acidogen is advantageously gluconodeltalactone. The process is applied in the manufacture of soft cheeses with mastery of the acidification phase of the milk.