A food additive composition for ruminants of the dispersion type and a method of continuously producing the same. This food additive composition for ruminants, which contains 40% by weight or more but less than 65% by weight of a basic amino acid and has rumen bypass properties, is formulated into granules in an arbitrary shape which are scarcely classified when added to a silage or another feed. Thus, attempts have been made to develop a method of producing granules by which the milk yield of a lactation cow can be increased. Namely, it is intended to provide a food additive composition for ruminants which contains at least one protecting agent selected from among a hardened vegetable oil and a hardened animal oil having a melting point higher than 50° C. but lower than 90° C., 0.05 to 6% by weight of lecithin, water and 40% by weight or more but less than 65% by weight of a basic amino acid. It is also intended to provide a method of producing a food additive composition for ruminants characterized by comprising solidifying a molten mixture, which comprises at least one protecting agent selected from among a hardened vegetable oil and a hardened animal oil having a melting point higher than 50° C. but lower than 90° C., lecithin and a basic amino acid, by dipping in water.