  The deflection angle of Kerr-MOG black holes is studied for different values
of the parameter in modified gravity (MOG). To this end, we employ the
Gauss-Bonnet theorem, which was first studied by Gibbons and Werner and then
extended by Ono, Ishihara and Asada, who use a generalized optical metric where
the deflection of light for an observer and source at finite distance. By using
this method, we study the weak gravitational lensing by Kerr-MOG black hole.
Our computations show that with an increase in the MOG parameter ($\alpha$),
the deflection angle becomes significantly larger than that of Kerr black hole.
The results obtained show that MOG effect could be taken into account in the
gravitational lensing experiments.
