The present invention relates to a process for converting a multihydroxylated-aliphatic hydrocarbon or ester thereof to a chlorohydrin, by contacting the multihydroxylated-aliphatic hydrocarbon or ester thereof starting material with a source of a superatmospheric partial pressure of hydrogen chloride for a sufficient time and at a sufficient temperature, and wherein such contracting step is carried out without substantial removal of water, to produce the desired chlorohydrin product; wherein the desired product or products can be made in high yield without substantial formation of undesired overchlorinated byproducts. In addition, certain catalysts of the present invention may be used in the present process at superatmospheric, atmospheric and subatmospheric pressure conditions with improved results.