Abstarct: The nuclei, in some way, are the most complex quantum systems; because on one hand, the nuclear force itself has a complex nature; on the other hand, in a nucleus containing some particles, there is not a common center of force similar to that of atoms. As a result, investigation of a many-nucleon nucleus is such a difficult task! In this research, after introducing the characteristics of the nuclear force, it is discussed about the properties of an appropriate nuclear potential. Then by investigating Yukawa and Hamada-Johnson's two popular potentials and the inspiration of their boundary behavior, it is introduced for the first time, a potential called as Mie-type to describe interaction between nucleons. Followed, it is introduced Hyperspherical variables and Hyperspherical Harmonics and it is explained how they are used in Schrodinger equation for the investigation of few-nucleon systems. Then by solving Schrodinger equation with power-series method, it is determined all of the energy's eigen values as well as eigen functions for the arbitrary γ value of an arbitrary A-nucleon System. At last it is calculated specially the Binding energy, Mass and Charge radius of the Triton and it is compaired with their experimental values.