  3D Voronoi's tessellation method was first applied to identify groups of
galaxies in the structure of a supercluster. The sample under consideration
consists of more than 7000 galaxies of the Local Supercluster (LS) with radial
velocities up to 3100 km/s. Because of an essential non-homogeneity of the LS
catalogue, it was proposed to overscale distances in such an ''artificial'' way
that the concentration of galaxies was varying as with increase of the distance
a power-behaved function with the same exponent beta as for the full
homogeneous catalogue. Various parameters of clustering were taking into
account: alpha (0.01, 0.1, 1%) as the part of galaxies, which have the relative
volume of a Voronoi's cell smaller than the critical one for the random
distribution; beta = 0, which fits to the random galaxy distribution; beta =
0.7, which is close to the pancake galaxy distribution. It is revealed that
Voronoi's tessellation method depends weakly on beta-parameter, and the number
of galaxies in rich structures is growing rather than in poor ones with
increase of alpha-parameter. The comparison of the groups derived with the
groups obtained by Karachentsev's dynamical method shows that the number of
groups, which coincides by all the components, is 22%. As a whole, the
dynamical method is more preferred for identifying sparsely populated galaxy
groups, whereas 3D Voronoi's tessellation method is preferred for more
populated ones.
