  The rotating Ay\'{o}n-Beato-Garc\'{i}a (ABG) black holes, apart from mass
($M$) and rotation parameter ($a$), has an additional charge $Q$ and
encompassed the Kerr black hole as particular case when $Q=0$. We demonstrate
the ergoregions of rotating ABG black holes depend on both rotation parameter
$a$ and charge $Q$, and the area of the ergoregions increases with increase in
the values of $Q$, when compared with the Kerr black hole and the extremal
regular black hole changes with the value of $Q$. Ban{\~a}dos, Silk and West
(BSW) demonstrated that an extremal Kerr black hole can act as a particle
accelerator with arbitrarily high center-of-mass energy ($E_{CM}$) when the
collision takes place at any point in the ergoregion and thus in turn provides
a suitable framework for Plank-scale physics. We study the collision of two
general particles with different masses falling freely from rest in the
equatorial plane of a rotating ABG black hole near the event horizon and find
that the $E_{CM}$ of two colliding particles is arbitrarily high when one of
the particles take a critical value of angular momentum in the extremal case,
whereas for nonextremal case $E_{CM}$ for a pair of colliding particles is
generically divergent at the inner horizon, and explicitly studying the effect
of charge $Q$ on the $E_{CM}$ for ABG black hole. In particular, our results in
the limit $Q\rightarrow 0$ reduce exactly to \emph{vis-$\grave{a}$-vis} those
of the Kerr black hole.
