Copolyorganosiloxanecarbonates are prepared by first preparing an oligomeric aromatic polycarbonate, such as an oligomeric bisphenol A polycarbonate, in the presence of a tertiary amine as the only catalyst species; contacting the oligomeric polycarbonate mixture with a polyorganosiloxane bis(aryl)chloroformate, such as the bischloroformate of hydroxy-terminated eugenol polydimethylsiloxane; and introducing phosgene and/or chain termination agent either continuously or in stages. A feature of the process is the presence of dihydroxyaromatic compound in only one charge, at the beginning. The products have excellent physical properties, including transparency.