  In rotating black hole background surrounded by dark matter, we investigated
the super-radiant phenomenon of massive scalar field and its associated
instability.Using the method of asymptotic matching, we computed the
amplification factor of scalar wave scattering to assess the strength of
super-radiance. We discussed the influence of dark matter density on
amplification factor in this black hole background. Our result indicates that
the presence of dark matter has suppressive influence on black hole
super-radiance. We also computed the net extracted energy to further support
this result. Finally, we analyzed the super-radiant instability caused by
massive scalar field using the black hole bomb mechanism and found that the
presence of dark matter has no influence on the super-radiant instability
condition.
