Abstract: The invention concerns an oral galenic form for prolonged release of anti-hyperglycaemic (metformin) active principles. Said medicine enables to obtain an efficient therapeutic protection over 24 hours by overcoming the problems of bypass of the absorption window and the massive localised release of active principles. Therefor, said medicine comprises several thousand anti-hyperglycaemic (metformin) microcapsules each consisting of a core comprising at least an anti-hyperglycaemic agent and of a coating film applied on the core and enabling the prolonged release in vivo of the anti-hyperglycaemic agent. Said microcapsules have a grain size distribution ranging between 50 and 100 microns. The reproducibility of the transit kinetics and hence of bioavailability are very high. There results for the patient a lesser risk of hyperglycaemic or hypoglycaemic. The invention also concerns the preparation of said medicine and the use of a plurality of said microcapsules for making an anti-hyperglycaemic medicine.