Disclosed herein are a composite conductive sheet that has rigid conductors movable in a thickness-wise direction of an insulating sheet without falling off from the insulating sheet and is easy to handle by itself, a production process thereof, and an anisotropically conductive connector, an adaptor device and an electrical inspection apparatus for circuit devices, which are each equipped with this composite conductive sheet.The composite conductive sheet of the invention has an insulating sheet, in which a plurality of through-holes each extending in a thickness-wise direction of the sheet are formed, and rigid conductors arranged respectively in the through-holes in the insulating sheet so as to protrude from both surfaces of the insulating sheet, wherein each of the rigid conductors has terminal portions formed on both ends of a body portion inserted into the through-hole in the insulating sheet and each having a diameter greater than a diameter of the through-hole in the insulating sheet, and is movable in the thickness-wise direction of the insulating sheet.