Abstract: &agr;-Olefins are polymerized in the gas phase at from 30 to 150° C. and a pressure of from 5 to 80 bar using a catalyst or a catalyst mixture containing as antistatic agent from 0.1 to 5% by weight of ZnO and/or anhydrous MgO, based on the total amount of the catalyst mixture, except for a process in which the catalyst mixture comprises a chromium catalyst and MgO-supported Ziegler catalyst which is modified with an alkene and with alkylaluminum hydride and also comprises free MgO and the total amount of the MgO is not less than 2% by weight of the catalyst mixture.