  Recently, it has been demonstrated by Comisso and Asenjo that magnetic
reconnection processes in the ergosphere of a Kerr black hole can provide us
with a promising mechanism for extracting the rotational energy from it. In
this paper, we study the energy extraction from the the newly proposed rotating
regular black holes via this Comisso-Asenjo mechanism. This novel rotating
regular black hole has an exponential convergence factor $e^{-k/r}$ on the mass
term characterized by the regular parameter $k$ in the exponent. We explore the
effects of this regular parameter on the magnetic reconnection as well as other
critical parameters determining the Comisso-Asenjo process. The parameter
spaces allowing energy extraction to occur are investigated. The power,
efficiency and the power ratio to the Blandford-Znajek mechanism are studied.
The results show that the regularity of the rotating black hole has significant
effects on the energy extraction via the Comisso-Asenjo mechanism.
