In a medical guide wire having a connecting structure formed by three members: a tubular connector; a first core; and a second core, when a torsional rigidity of one member is lower than the torsional rigidity of the materials of both end portions, for example, the twist is unevenly generated between the members and the rotation transmission performance to the distal end side is significantly reduced. In such a case, there is a technical problem for improving the rotation transmission performance to the distal end side. In the connecting structure formed by three members, as a result of focusing on the torsional rigidity of the three members and considering the torsional rigidity ratios between the members, the technical problem for improving the rotation transmission performance to the distal end side can be solved when the torsional rigidity ratios satisfy a predetermined relation.