  We construct a consistent theory of a quantum massive Weyl field. We start
with the formulation of the classical field theory approach for the description
of massive Weyl fields. It is demonstrated that the standard Lagrange formalism
cannot be applied for the studies of massive first-quantized Weyl spinors.
Nevertheless we show that the classical field theory description of massive
Weyl fields can be implemented in frames of the Hamilton formalism or using the
extended Lagrange formalism. Then we carry out a canonical quantization of the
system. The independent ways for the quantization of a massive Weyl field are
discussed. We also compare our results with the previous approaches for the
treatment of massive Weyl spinors. Finally the new interpretation of the
Majorana condition is proposed.
