  In the present paper, we study numerically the equatorial lensing and
quasiequatorial lensing by Kerr black hole pierced by a cosmic string in the
strong deflection limit. We calculate the strong deflection limit coefficients
and the deflection angle, which are found to depend closely on the cosmic
string parameter $\beta$ and dimensionless spin $a_{*}$. The magnification and
positions of relativistic images are also computed in the strong deflection
limit and a two-dimensional lens equation is derived. The most important and
outstanding effect is that the caustics drift away from the optical axis and
shift in the clockwise direction with respect to the Kerr black hole. For fixed
$a_{*}$ of the black hole, the caustics drift farther away from the optical
axis for a large value of $\beta$. And for fixed $\beta$, they drift farther
for high $a_{*}$. We also obtain the intersections of the critical curves with
the equatorial plane, which decrease with $a_{*}$ and $\beta$. In particular,
we obtain a quantity $\bar{\mu}_{k+1}/\bar{\mu}_{k}$, which is independent of
the black hole spin and mass. Thus, through measuring it, one is allowed to
determine the value of $\beta$ from astronomical observations.
