The present invention relates to a process for producing an aliphatic amine, comprising the step of contacting a linear or branched, or cyclic aliphatic alcohol having 6 to 22 carbon atoms with ammonia and hydrogen in the presence of a catalyst formed by supporting at least (A) a ruthenium component produced by hydrolysis of a ruthenium compound on a carrier, or by further supporting, in addition to the component (A), a specific second metal component or a specific third metal component on the carrier. According to the process of the present invention, an aliphatic primary amine can be produced from an aliphatic alcohol with a high catalytic activity and a high selectivity.