  We study the growth of cosmological perturbations in the model of
Lorentz-violating massive gravity. The Friedman equation in this model acquires
an unconventional term due to the Lorentz-breaking condensates which has the
equation of state w = -1 / (3 gamma) with gamma being a free parameter taking
values outside of the range [0,1/3]. Apart from the standard contributions, the
perturbations above the Friedmann background contain an extra piece which is
proportional to an arbitrary function theta(x) of the space coordinates. This
function appears as an integration constant and corresponds to a
non-propagating scalar mode which may, however, become dynamical with the
account of the higher-derivative corrections. For -1 < gamma < 0 and gamma = 1
the ``anomalous'' perturbations grow slower than the standard ones and thus the
model is compatible with observations. Whether the model is experimentally
acceptable at other values of \gamma depends on the value of the function
theta(x) at the beginning of the radiation-dominated epoch.
