  Problem of description of total cross sections of $\bar pp$- and
$pp$-interactions is considered within the framework of the Regge theory.
Parameters of the pomeron exchange, ordinary meson exchange and exotic meson
exchange with hidden baryon number are determined at fitting of experimental
data assuming the identical interaction radii of the reggeons with nucleon. An
expression is proposed for cross sections of various reactions in the $\bar
pp$-interactions - cross sections of one and two string creations needed for
Monte Carlo simulation of the reactions, and the cross sections are calculated.
