N=1, D=10 Tensionless Superbranes II

We consider a model for tensionless (null) p-branes with N=1 global supersymmetry in 10-dimensional Minkowski space-time. We give an action for the model and show that it is reparametrization and kappa-invariant. We also find some solutions of the classical equations of motion. In the case of null superstring (p=1), we obtain the general solution in arbitrary gauge.