We show that the structure constants of W-algebras can be grouped acco
rding to the lowest (bosonic) spin (s) of the algebra. The structure c
onstants in each group are described by a unique formula, depending on
a functional parameter h (c) that is characteristic for each algebra.
As examples we give the structure constants C-33(4) and C-44(4) for t
he algebras of type W (2, 3, 4,...) (that include the WA(n-1) algebras
) and the structure constant C-44(4) for the algebras of type W (2, 4,
...), especially for all the algebras WD(n), WB (0, n), WB(n) and WC(n
). It also includes the bosonic projection of the super-Virasoro algeb
ra and an as yet unexplained algebra of type W (2, 4, 6) found previou
sly.