  In this paper, we prove that Kato smoothing effects for magnetic
Schr\"odinger operators can yield the endpoint Strichartz estimates for linear
wave equation with magnetic potential on two dimensional hyperbolic spaces.
This result serves as a cornerstone for the author's work \cite{Lize} and
collaborative work \cite{LMZ} in the study of asymptotic stability of harmonic
maps for wave maps from $\Bbb R\times\Bbb H^2$ to $\Bbb H^2$.
