Abstarct: We calculate the Hyperon mass by using the hyperspherical coordinates and the variational approach while the Cornell hypercentral potential and hyperfine interactions are present in the Hamiltonian. The results are reported for classes of Lambda, Omega, Sigma and Xi hyperons and the consistency with the existing experimental data is acceptable. The ground state binding energy of particle in hypernuclei is investigated by using analytical solution of nonrelativistic Schrödinger equation in the presence of a generalized Woods-Saxon-type interaction. The comparison with the experimental data is motivating and also by using analytically solution relativistic equation, we have calculated the ground states binding energy of the single cascade and lambda in hypernuclei. The derived results are compared with data experimental and the excited state binding energy of Λ-particle in hypernuclei is investigated by using analytical solution of relativistic equation in the presence of Woods–Saxon-type interaction. We obtained the approximate formula for bibdinf energy of lambda at large values of the mass number shos a remarkable similarity with the non- relativistic one for large A and by using Dirac equation which describes the spin 1/2 particles, we calculated the density of states, the Fermi energy, the average energy, the density of states of nucleons and hyperons and then asymmetry energy of hypernuclei is obtained. by using generalized semi-empirical mass formula, decay chains of light hypernuclei for odd-A and even-A are calculated and the unstable hypernuclei of mass chains are presented. The separation energy per baryon of the mirror hypernuclei is obtained.