There is described a continuous process for the oxidative cleavage of vegetable oils containing triglycerides of unsaturated carboxylic acids, for the obtainment of saturated carboxylic acids, comprising the steps of: a) feeding to a first continuous reactor at least a vegetable oil, an oxidizing compound and a catalyst capable of catalyzing the oxidation reaction of the olefinic double bond to obtain an intermediate compound containing vicinal diols, and of b) feeding to a second continuous reactor said intermediate compound, a compound containing oxygen and a catalyst capable of catalyzing the oxidation reaction of the vicinal diols to carboxylic groups, to obtain saturated monocarboxylic acids (i) and triglycerides containing saturated carboxylic acids with more than one acid function (ii); c) separating the saturated monocarboxylic acids (i) from the triglycerides having more than one acid function (ii). d) hydrolyzing in a third reactor the triglycerides having more than one acid function (ii) to obtain glycerol and saturated carboxylic acids with more than one acid function.