In Order to extend the conventional shell model(SM) calculation with h
armonic oscillator bases to halo nuclei, a self-similar structure shel
l model(SSM) is proposed. The SSM is achieved by a rescaling of both t
he kinetic and potential energy term of the harmonic oscillator and a
mean field imitation, so that the single particle orbit in SSM has sta
te (orbit)-dependent frequency. The large r.m.s. radius and the thick
neutron skin for halo nuclei as well as the bound state properties of
Borromean nuclei such as He-6, Li-11 and Be-14 can be reproduced.