  The stability of cosmological solutions in the recently suggested specific
mechanism of dynamical compensation of vacuum energy is studied. It is found
that the solutions in the original version lead to cosmological singularity
which could be reached in final (and short) time. A modification of the
interaction of the compensating field with gravity is suggested which allows to
escape such singularity. It is shown that generic cosmological solution in this
model tends to the Friedmann expansion regime even starting from initially
large vacuum energy.
