  We give a short review of processes of stochastic acceleration in the Galaxy.
We discuss: how to estimate correctly the number of accelerated particles, and
at which condition the stochastic mechanism is able to generate power-law
nonthermal spectra. We present an analysis of stochastic acceleration in the
Galactic halo and discuss whether this mechanism can be responsible for
production of high energy electrons there, which emit gamma-ray and microwave
emission from the giant Fermi bubbles. Lastly, we discuss whether the effects
of stochastic acceleration can explain the CR distribution in the Galactic disk
(CR gradient).
