Abstract: The orbital, ground and excited state energies of many electron atoms confined by an impenetrable spherical cavity with radius R are calculated using Quantum Genetic Algorithm (QGA) approach and Hartree-Fock Roothaan (HFR) theory. The important properties such as static and dynamic polarizability, oscillator strength and static pressure are investigated as perturbative. The results reveal that cavity radius and impurity charge have played an important role on the polarizability, the oscillator strength and pressure of the system. In addition, it is seen that when cavity radius is extremely large, all energies and the other physical parameters approach the energies and physical parameters of unconfined atom. As the dot radius decreases, the polarizability of system because of the strong spatial confinement decreases, but the pressure exerting on the system as the cavity radius R is shrunk increases. In addition, as the impurity charge increases, the magnitude of the oscillator strength decreases. Keywords: Orbital energy, static and dynamic polarizability, oscillator strength, pressure, many electron quantum dots.