  We construct a double degenerate supersymmetry in one dimensional quantum
mechanics. Here the energy levels satisfy the conditions $E_{0,1}^{((-)}=0$ and
$E_{n,n+1}^{(+)}=E_{n+2,n+3}^{(-)}$.The corresponding SUSY
Hamiltonians$(H^{(\pm)}$) are double degenerate in nature. the method has been
tested on power law potentials.
