  In this paper, we study the weak gravitational lensing in the spacetime of
rotating regular black hole geometries such as Ayon-Beato-Garc\'ia (ABG),
Bardeen, and Hayward black holes. We calculate the deflection angle of light
using the Gauss-Bonnet theorem (GBT) and show that the deflection of light can
be viewed as a partially topological effect in which the deflection angle can
be calculated by considering a domain outside of the light ray applied to the
black hole optical geometries. Then, we demonstrate also the deflection angle
via the geodesics formalism for these black holes to verify our results and
explore the differences with the Kerr solution. These black holes have in
addition to the total mass and rotation parameter, different parameters as
electric charge, magnetic charge, and deviation parameter. Newsworthy, we find
that the deflection of light has correction terms coming from these parameters
which generalizes the Kerr deflection angle.
