  In this paper Nowak--Szamrej-Latan\'e model is reconsidered. This
computerised model of opinion formation bases on Latan\'e theory of social
impact. We modify this model to allow for multi (more than two) opinions. With
computer simulations we show that in the modified model the signatures of
order/disorder phase transition are still observed. The transition may be
observed in the average fraction of actors sharing the $i$-th opinion, its
variation and also average number of clusters of actors with the same opinion
and the average size of the largest cluster of actors sharing the same opinion.
Also an influence of model control parameters on simulation results is shortly
reviewed. For a homogeneous society with identical actors' supportiveness and
persuasiveness the critical social temperature $T_C$ decreases with an increase
of available opinions $K$ from $T_C=6.1$ ($K=2$) via 4.7, 4.1 to $T_C=3.6$ for
$K=3$, 4, 5, respectively.
