  The strong gravitational lensing of a regular and rotating magnetic black
hole in non-minimally coupled Einstein-Yang-Mills theory is studied. We find
that, with the increase of any characteristic parameters of this black hole,
such as the rotating parameter, magnetic charge and EYM parameter, the angular
image position and relative magnification decrease while deflection angle and
image separation increase. The results will degenerate to that of the Kerr
case, R-N case with magnetic charge and Schwarzschild case when we take some
specific values for the black hole parameters. The results also show that, due
to the small influence of magnetic charge and Einstein-Yang-Mills parameters,
it is difficult for current astronomical instruments to tell this black hole
apart from a General Relativity one.
