A magnetoresistive effect element may be given satisfactory magnetic characteristics because a deterioration of a magnetoresistive changing rate by annealing can be suppressed and a magnetic memory device includes this magnetoresistive effect element to provide excellent write characteristics. A magnetoresistive effect element has a pair of ferromagnetic layers (magnetization fixed layer 5 and magnetization free layer 7) opposed to each other through an intermediate layer 6 to cause an electric current to flow in the direction perpendicular to the layer surface to obtain a magnetoresistive change. A magnetic memory device comprises the magnetoresistive effect element 1 in which at least one of the pair of ferromagnetic layers 5, 7 contains an amorphous ferromagnetic material whose crystallization temperature is higher than 623 K and bit lines and word lines sandwiching this magnetoresistive effect element and the magnetoresistive effect element in the thickness direction.