The process of this invention efficiently produces a compound having an alkyl group or alkenyl group bonded at the alpha position of an electron attractive group, or a derivative thereof, by catalytic radical addition reaction. The process reacts a compound containing an electron attractive group of Formula (1) as defined in the specification with a compound containing an unsaturated carbon-carbon bond of Formula (2) or (7) as defined in the specification to produce a compound of Formula (3) or (8) as defined in the specification. The invention is characterized by carrying out the reaction in the presence of oxygen and a catalytic compound of a Group 7, 8, or 9 element of the Periodic Table of Elements.