Abstract: A method for isomerizing fatty acids which contain an isolated diene structure (--CH=CH--CH.sub.2 --CH=CH--) and/or disproportionating rosin acids which contain a conjugated diene structure by bringing them in contact with sulfur and/or iodine at a raised temperature, wherein the acid mixture is treated with a sulfur rate of at the most 5% by weight and/or an iodine rate of at the most 0.4% by weight at a temperature of about 180.degree.-250.degree.C.