  We study the possibility to directly detect the boosted dark matter generated
from the scatterings with high energetic cosmic particles such as protons and
electrons. As a concrete example, we consider the sub-GeV dark matter mediated
by a $U(1)_D$ gauge boson which has mixing with $U(1)_Y$ gauge boson in the
standard model. The enhanced kinetic energy of the light dark matter from the
collision with the cosmic rays can recoil the target nucleus and electron in
the underground direct detection experiments transferring enough energy to them
to be detectable. We show the impact of BDM with existing direct detection
experiments as well as collider and beam-dump experiments.
