  We propose a fibre bundle formulation of the mathematical base of
relativistic quantum mechanics. At the present stage the bundle form of the
theory is equivalent to its conventional one, but it admits new types of
generalizations in different directions.
  In the present, second, part of our investigation, we consider a covariant
approach to bundle description of relativistic quantum mechanics.
  In it the wavefunctions are replaced with (state) sections of a suitably
chosen vector bundle over space-time whose (standard) fibre is the space of the
wavefunctions. Now the quantum evolution is described as a linear
transportation (by means of the transport along the identity map of the
space\nobreakdash-time) of the state sections in the (total) bundle space.
Connections between the (retarded) Green functions of the relativistic wave
equations and the evolution operators and transports are found. Especially the
Dirac and Klein-Gordon equations are considered.
