A carrier for use in the catalyst for the production of an epoxide is obtained by preparing a carrier precursor containing (a) -alumina, (b) silicon or a compound thereof, and (c) at least one element selected from the class consisting of germanium, tin, lead, phosphorus, antimony, and bismuth or a compound thereof and subsequently heat-treating the precursor in non-oxidative gas. The catalyst for the production of the epoxide is obtained by having silver deposited on this carrier and the epoxide is obtained from a corresponding unsaturated hydrocarbon of 2-4 carbon atoms with a high selectivity by using the catalyst.