The invention relates to a method for the continuous production of lactic acid (first fermentation product) and a second fermentation product selected from the group consisting of alcohols and biogas, from necessarily dry grinding of cereals and more specifically corn. According to said method, a main flow and a flow of waste that is difficult to ferment are recovered from the grinding; said two flows are treated separately but simultaneously, in order to produce, by fermentation, lactic acid and an alcohol and/or biogas.