A connecting structure of a metallic shielding member is provided with each of contacting elongations in the leading edge direction of male or female metallic shielding member in which a pair of engaging hook pieces to engage with the contacting elongation of one of the metallic shielding members are formed at the contacting elongation of the other metallic shielding member. The pair of engaging hook pieces are formed at both sides of the slit provided between the adjacent contacting elongations. The other connecting structure of a metallic shielding member in which each of the contacting elongations of both metallic shielding members equipped with male and female connectors is brought into contact with each other, a pressing spring is provided for energizing the contacting elongation of one of the metallic shielding members toward the contacting elongation of the other metallic shielding member at least in the connector housing on one side. Furthermore, there are provided a contacting projection for both contacting elongations and an enlarged diameter portion for the contacting projection.