Abstract:  In this paper,using the parameter method the author reduces the problem of the necessary and   sufficient condition of decomposable elements in V'm)to the problem of decomposability of completely sym- metrical tensors of type I and type I,by means of the equivalence transformation of decomposability  of completely symmetrical tensors.It shows that the generated matrix of decomposable elements is obtained  by the row elementary transformation,a necessary and sufficient condition that the type I and I of completely symmetrical tensors are decomposable elements is also obtained.

Key words:  , generated polynomial, generated matrix, the completely symmetrical tensors of type I and type I