  Dynamical systems which are invariant under N=1 supersymmetric extension of
the l-conformal Galilei algebra are constructed. These include a free N=1
superparticle which is governed by higher derivative equations of motion and an
N=1 supersymmetric Pais-Uhlenbeck oscillator for a particular choice of its
frequencies. A Niederer-like transformation which links the models is proposed.
