Is relativistic invariance preserved in the limit $\hbar\to 0$?

Relativistic invariance is shown to be violated in the transition to the classical limit according the usual rule of Wigner and Moyal. A modification of the limiting procedure, which restores the relativistic invariance, is proposed. With the aid of this procedure 3 solutions of the Dirac problem of the classical relativistic hamiltonian description of directly interacting particles are found for the simplest case of two one-dimensional particles.