Abstract A hierarchy of super KdV equations is derived from sl ( 2 | 1 ) supermatrix-valued spectral problem. Each equation in the hierarchy is shown to be bi-super-Hamiltonian. Moreover, a Darboux transformation of the hierarchy is constructed. As the compatibility condition of a pair of the Darboux transformations, we obtain a super lattice potential KdV (lpKdV) equation with two discrete variables.