A CuH‐catalyzed enantioselective hydroamidation reaction of vinylarenes has been developed using readily accessible 1,4,2‐dioxazol‐5‐ones as electrophilic amidating reagents. This method provides a straightforward and efficient approach to synthesize chiral amides in good yields with high levels of enantiopurity under mild conditions. Moreover, this transformation tolerates substrates bearing a broad range of functional groups.