  We discuss laser cooling methods of (anti)hydrogen and its importance for
current and future experiments. The exploration of antimatter presents a great
interest for $CERN$ and $GSI$ experiments aimed at check of quantum mechanics
laws, fundamental symmetries of nature and gravity and investigations in atomic
and nuclear physics. The spectral transition $1S\rightarrow 2P$ in $\bar{H}
(H)$ atom is the most suitable for laser cooling due to a small lifetime of
$2P$ state and insignificant ionization losses. However the pulsed and
continuous laser sources at Lyman-$\alpha$ wavelength do not possess enough
power for fast and efficient cooling. The small power of laser sources at
$\lambda=121.6\ \nm$ is poor technical problem associated with a complexity of
generation scheme of such radiation, which arises due to absence of nonlinear
$BBO$ crystals at this wavelength. The advances in this area will completely
destine the future progress of the experiments aimed at study of antimatter.
