Results are presented on a new cone‐shaped positron moderator which shows a high moderator efficiency (i.e., conversion of beta decay to emitted slow positrons). The moderator efficiencies for the cone moderators studied were found to be up to 0.14% compared to thin‐foil measurements of 0.06% in the same experimental system including identical source and holder. These moderators are rugged and easily fabricated, however, they have a lower brightness than single‐crystal foil moderators. Comparison of various geometries is presented as well as suggestions for further improvements to increase the total efficiencies.