The invention relates to a process for the production of well-preserving lactose-free and low-lactose milk products, wherein sugars and proteins in a milk raw material or milk and whey raw material mixture are separated into a sugar fraction and a protein fraction by ultrafiltration; at least the protein fraction obtained as ultrafiltration retentate is thermally treated at a temperature ranging from 60°C to 80°C for 10 minutes to 10 hours to inactivate the natural plasmin enzyme system and other harmful enzymes therein; the thermally treated protein fraction and the sugar fraction are heat treated; and the milk product is composed from the heat-treated protein fraction and from optional other preparation components into a milk product with a desired composition and sweetness.