We study the threshold $\phi$-meson production
in the process $\Delta+N\to N+N+\phi$, which
appears as a possible important mechanism in
high energy nuclei-nuclei collisions. The
isotopic invariance of the strong interaction
and the selection rules due to P-parity and total
angular momentum result in a general and model in
dependent parametrization of the spin structure of
the matrix element in terms of three partial
amplitudes. In the framework of one-pion exchange
model these amplitudes can be derived in terms of
the two threshold partial amplitudes for the
process $\pi+N\to N+\phi$. We predict the ratio
of cross sections for $\phi-$meson production in
$pp$- and $\Delta N$-collisions and the
polarization properties of the $\phi$-meson,
in $\Delta+N\to N+N+\phi$, as a function of a
single parameter, which characterizes the relative
role of transversal and longitudinal $\phi$-meson
polarizations in the process $\pi+N\to N+\phi$.
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