Disclosed are compositions for oral administration useful in the control of obesity, excess weight and excess cholesterol and triglycerides, containing polysaccharides that sequester fats present in the diet, which are therefore not absorbed in the gastroenteric tract. The compositions contain a combination of chitosan of vegetable origin, able to bind fatty acids, and powdered cellulose, able to gel in a mixed oily/aqueous medium. Quantity by weight being equal, the combination has superior efficacy characteristics to chitosan of vegetable origin only.