Rotating regular black hole solution

Based on the Newman-Janis algorithm, the Ay\'on-Beato-Garc\'{\i}a spacetime metric [Phys. Rev. Lett. 80, 5056 (1998)] 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 a regular black hole is regular and the critical value of the electric charge for which two horizons merge into one sufficiently decreases in the presence of the nonvanishing rotation parameter $a$ of the black hole.