There is provided a catalyst for dimethyl carbonate synthesis which has a
high conversion rate under the supercritical condition of CO.sub.2 and
can be handled easily. The catalyst for dimethyl carbonate is obtained by
loading SO.sub.4.sup.2- or PO.sub.4.sup.3- on a carrier composed of a
compound having a solid acid site, and is used to produce dimethyl
carbonate from acetone dimethyl carbonate and CO.sub.2 in a supercritical
state. The component having a solid acid site is preferably one or more
of ZrO.sub.2, Al.sub.2O.sub.3, and TiO.sub.2.