  Based on the Newman-Janis algorithm the Ayon-Beato-Garcia spacetime metric of
the regular spherically symmetric, static and charged black hole has been
converted into rotational form. It is shown that the derived solution for
rotating regular black hole is regular and the critical value of the electric
charge $Q$ for which two horizons merge into one sufficiently decreases in the
presence of nonvanishing angular momentum $a$ of the black hole.
