  We consider massive $SU(N)$ gauge theory with fermions. Gauge bosons become
massive due to the interaction with the scalar field, whose vacuum average
provides the spontaneous breakdown of gauge symmetry. We investigate Dyson -
Schwinger equation for the fermion propagator written in ladder approximation
and in Landau gauge. Our analysis demonstrates that the chiral symmetry
breaking in the considered theory is the strong coupling phenomenon. There are
the indications that there appears the second order phase transition between
chirally broken and symmetric phases of the theory at the value of coupling
constant $\alpha_c = (1+\gamma)\times \frac{\pi}{3}\times \frac{1}{2 C_2(F)}$,
where $0<\gamma<1$, and $\gamma$ depends on the scale, at which the
fluctuations of the scalar field destroy the gauge boson mass. In the broken
phase near the critical value of $\alpha$ the Dyson - Schwinger equation is
approximated well by the gap equation of the effective Nambu - Joina - Lasinio
model with the value of cutoff around gauge boson mass $M$ and the effective
four - fermion coupling constant $\frac{4 \pi \alpha}{M^2}\times
\frac{2C_2(F)}{N}$. The dynamical fermion mass $m$ may be essentially smaller
than $M$.
