The present invention provides a connector that can be easily and properly connected to a sheet-like electrically conductive member that is provided with a plurality of electrically conductive portions arranged at different height positions in the thickness direction. A connector 1 includes a plurality of contacts 2, a body housing 5 that holds the contacts 2, and a cover housing 7 that is attached to the body housing 5. The body housing 5 has a plurality of holding portions 51 that hold the contacts 2. The holding portions 51 are provided in the body housing 5 so as to hold the contacts 2 at different height positions in the thickness direction of the body housing 5. A plurality of electrically conductive portions 101 come into contact with the contacts 2 in a state where an electrically conductive member 100 is sandwiched between the cover housing 7 and the body housing 5.