In a recording medium having a porous ink-receiving layer containing alumina hydrate of boehmite structure formed on a base material, the alumina hydrate has crystallinity ranging from 15 to 80 and microcrystals of the alumina hydrate are directed to be parallel to a plane direction of the ink-receiving layer at a parallelization degree of not less than 1.5. The recording medium is employed in an ink-jet recording method conducting printing by ejecting ink droplets through an orifice onto the recording medium.A process for producing the recording medium comprises the steps of: applying a coating liquid containing alumina hydrate of boehmite structure with shearing stress onto a base material; and drying the coated material to obtain a degree of parallelization of a microcrystal of the alumina hydrate with a plane direction of the ink-receiving layer of not less than 1.5.