A magnetic memory device in which an MRAM element is magnetically shielded from a large external magnetic field in an satisfactory manner, making it possible to surely achieve an operation free of problems in a magnetic field generated by the environment in which the MRAM element is used. A magnetic random access memory (MRAM) (30) is constituted by a TMR element (10) having a magnetized pinned layer (4), (6) with fixed direction of magnetization and a magnetic layer (memory layer) (2) with changeable direction of magnetization stacked on one another, mounted on a substrate together with another element (38), such as a DRAM , wherein a magnetic shielding layer (33), (34) is formed in a region corresponding to an area occupied by the MRAM element (30) or/and a magnetic shielding layer (33), (34) is with a distance of 15 mm or less between the opposite sides (especially, a length or a width). <IMAGE>