A compositions of elementary polynomial transformations with linear ones form an important class of invertible polynomial maps which is called tame ones . It is shown that every non-linear triangular polynomial transformation of the n— dimensional affine space (n > 2) with the affine subgroup generates all group of tame transformations. On the other hand the group of triangular transformation together with some affine ones generates the groups, which could be considered as nonlinear analogies of parabolic subgroups.