An anisotropically conductive connector, not causing permanent deformation by contact of target electrodes to be connected with pressure and deformation by abrasion even if the target electrodes are projected, and achieving stable conductivity over a long time period even when pressed repeatedly, a production process thereof, and an inspection circuit board equipped with the connector. The connector includes (1) anisotropically conductive film, with plural conductive path-forming parts each extending in a thickness-wise direction of the film arranged insulated by insulating parts and including at least 2 elastic layers, which are each formed by an insulating elastic polymeric substance, and (2) conductive particles exhibiting magnetism in portions of the respective elastic layers, at which conductive path-forming parts are formed. The connector satisfies H.sub.1.gtoreq.30, and H.sub.1/H.sub.2.gtoreq.1.1, H.sub.1, H.sub.2 being durometer hardnesses of the elastic polymeric substance of one of elastic layers forming surfaces of the film, and of the elastic polymeric substance of the other, respectively, the resulting connector includes one harder elastic layer to limit permanent deformation and one softer layer for compliance.