Asymmetric 1,4-arylation and -alkenylation was achieved by use of organoboronic acids or their derivatives in the presence of a rhodium catalyst coordinated with binap or its related ligands. The scope of this asymmetric addition is very broad, α,β-unsaturated ketones, esters, amides, 1-alkenylphosphonates, and 1-nitroalkenes being efficiently converted into the corresponding 1,4-addition products with over 95 % enantioselectivity. The catalytic cycle in water is proposed to involve three intermediates [aryl-or alkenyl-rhodium (oxa-π-allyl)rhodium, and hydroxo-rhodium] by NMR studies on the rhodium intermediates.