It was demonstrated by Comisso and Asenjo that the magnetic reconnection in the ergosphere is a promising mechanism to extract energy from the rotating Kerr black hole. In this work, we investigate the role of the Comisso-Asenjo mechanism in energy extraction from the newly suggested rotating hairy black holes which have an extra hair due to the additional surrounding sources, such as dark matter or dark energy. We examine how the hairy parameters characterized the hair affect the magnetic reconnection process in addition to other important variables of the Comisso-Asenjo process, including the parameter spaces that permit energy extraction, the power, efficiency and power ratios with respect to the Blandford-Znajek mechanism.