In the production step, alcohol is reacted with carbon monoxide in a reaction solvent in the presence of a rhodium-containing solid catalyst obtained by immobilizing rhodium in an insoluble carrier (I) containing a pyridine ring in its resin structure and an alkyl iodide containing an alkyl group of 1 to 5 carbon atoms, to produce a reaction product having a water content of 0.5 to 10% by weight; and in the subsequent removing step, an organic carboxylic acid is separated and recovered from the reaction product, and the recovered organic carboxylic acid is contacted with an insoluble carrier (II) containing a pyridine ring in its resin structure, to remove an iodide contained in the organic carboxylic acid.