Abstract: The invention relates to a method for the preparation of a supported procatalyst intended for the polymerization of olefines, in which particles are formed of magnesium dihalide and alcohol, the particles are reacted with an organic compound of a metal from the groups I-III, the thus obtained particulate product is activated by means of a titanium and/or vanadium compound and optionally a donor, and optionally a prepolymerization is carried out for the activated particles. A problem of such a method is how to form particles of magnesium dihalogenide and alcohol having a structure advantageous for the polymerization of olefins. The problem has in the present invention been solved so that the particles are formed by spray crystallizing (spray freezing) a mixture of magnesium dihalide and alcohol to complex particles of magnesium dihalide and alcohol. The hydroxyl content of the particles so obtained is much greater than earlier, which results in a much more active procatalyst than the preceding ones.