  We construct charged black hole solutions with hyperscaling violation in the
infrared(IR) region in Einstein-Maxwell-Dilaton-Axion theory and investigate
the temperature behavior of the ratio of holographic shear viscosity to the
entropy density. When translational symmetry breaking is relevant in the IR,
the power law of the ratio is testified numerically at low temperature $T$,
namely, $\eta/s\sim T^\kappa$, where the values of exponent $\kappa$ coincide
with the analytical results. We also find that the exponent $\kappa$ is not
affected by irrelevant current, but is reduced by the relevant current.
