An object of the present invention is to provide a technology which can suppress the blockage and abrasion of pipes and devices caused by the production of by-products and stably synthesize acrolein at a high yield, under a condition in which energy efficiency is improved by an elevated concentration of glycerol in a reaction liquid, in a process for synthesis of acrolein by reacting supercritical water and an acid with glycerol. An embodiment of the present invention includes: setting a concentration of glycerol in the reaction liquid at 30% by weight or lower; also cooling the reaction liquid to a temperature between a temperature (300° C. or lower) at which the reaction stops and a temperature (100° C. or higher) at which tar contained in the reaction liquid can keep a state in which its viscosity is sufficiently low; then separating and removing carbon particles from the reaction liquid; subsequently cooling the reaction liquid to a temperature which is a boiling point of water or lower and at which the tar component in the reaction liquid does not adhere to devices; and then decompressing the cooled reaction liquid.