The thermal processes of the esterification of glycerol with cinnamic acid and with p-methoxycinnamic acid in the absence of organic solvents to obtain monocinnamoyl glycerols were studied. Esterification runs were performed batchwise, changing the initial molar ratio of acid to glycerol from 1:3 to 1:9, and temperature from 150 to 200 degrees C. Under such conditions, systems proved to be monophasic, obtaining almost quantitative acid conversion and a significant selectivity to monoesters (80-90%). Apart from the esterification reactions, experimental conditions and data suggest the presence of glycerolysis and disproportionation reactions. Several kinetic models were fitted to experimental data and statistical and physical criteria were used to select the most adequate: a model with esterification and reversible glycerolysis reactions. When results and parameter values for both acids were compared, their kinetic behaviour in these processes resulted similar in the experimental conditions tested. (C) 2013 Elsevier B.V. All rights reserved.