Process for producing a product for feeding animals comprising a first step of producing kibbles for therapeutic purpose through a first step of providing at least one thickener component in form of powder, at least one hydrophilic mineral in form of powder and at least one therapeutic substance in form of powder for curing animals, containing thermolabile and/or oxide-reducing active ingredients; a step for mixing such ingredients, aimed at homogenising such ingredients together; and a step for dry-pressing mixed powders to obtain compact agglomerates in form of kibbles, for therapeutic purpose, having lipophile characteristics and comprising a moisture percentage lower than 6%. The process also comprises a step for producing kibbles for nutritional purpose by means of extrusion starting from a mixture, a step for coating with fat, wherein the latter kibbles are coated with fat on the surface, a mixing step, wherein the kibbles for therapeutic purpose are mixed at percentages comprised between 5 and 15% to the kibbles for nutritional purpose, for uniform distribution therein The process further comprises a step for absorbing—by the kibbles for therapeutic purpose—part of the surface fats of the kibbles for nutritional purpose, such absorption step being at least partly performed during the mixing step.