A process for the recovery of iodine from the products of iodative dehydrogenation of hydrocarbons containing iodine and hydrogen iodide which consists in processing said products of dehydrogenation of hydrocarbons with an aqueous solution of sodium hydroxide, sodium carbonate or a mixture thereof until a weakly alkaline solution of iodine salts (pH 8 -10), containing iodide and iodate, is obtained. Said solution of iodine salts is electrolyzed to separately obtain the solutions of iodine and alkali, which contain undecomposed salts of iodine as well. The solution of alkali is recycled to the stage for alkali treatment of dehydrogenation products. Iodine is blown off from its solution by oxygen, an oxygen-containing gas or a mixture thereof with steam and recycled to the stage of dehydrogenation of hydrocarbons, and the solution of iodine salts free of iodine is recycled to the stage for alkali treatment of dehydrogenation products. The process is continuous. It enables complete recovery of iodine (up to 99.7 -99.9 percent), makes it possible to eliminate the formation of waste and crystalline iodine during the process as well as corrosive medium and dangerously explosive compounds.