A new pseudoclassical model to describe a Weyl particle is proposed. D
ifferent ways of its quantization are presented. They all lead to the
theory of Weyl particles; namely, the massless Dirac equation and the
Weyl condition are reproduced. In contrast with a model discussed prev
iously, which admits only the Dirac quantization without gauge fixing,
this one admits also a quasicanonical quantization, with the fixation
of almost all gauge freedom on the classical level.