Abstract: The invention relates to a method of producing ethylene oxide, consisting in that ethylene is oxidized with oxygen or air in a fluidized bed of a silver catalyst containing cadmium carbonate and/or cadmium oxide and also fused alumina having a particle size of between 2 microns and 0.5 mm, the components of the catalyst being taken in the following proportion (wt.%): silver, between 9.5 and 76; cadmium carbonate and/or cadmium oxide, between 0.5 and 4 (in terms of metallic cadmium); fused alumina, between 90 and 20. The oxidation of ethylene takes place at a partial pressure of ethylene between 0.6 and 15 atm, a partial pressure of oxygen between 0.1 and 2 atm, at an aggregate pressure of 2 to 20 atm and a temperature between 200.degree. and 300.degree. C in a reactor with a packing. The fused alumina may be used as a filler or support.