There is provided a current measuring apparatus for measuring current-under-measurement flowing between a first measuring terminal and a second measuring terminal, having a plurality of primary coils whose one end is electrically connected with the first measuring terminal and another end thereof is electrically connected with the second measuring terminal, a secondary coil that generates voltage representing the current-under-measurement corresponding to the current-under-measurement flowing through the plurality of primary coils and coaxial cables, each corresponding to the plurality of primary coils and having a signal line that connects one end of the primary coil with the first measuring terminal and a shield, and the coaxial cable has the signal line, an insulating layer for coating the signal line, first one of the shield having a tape-like conductor wound around the insulating layer and second one of the shield made of a conductor provided around the first shield.