The existence and generic stability of robust weak Nash equilibria for leader-follower games are studied. Firstly, a leader-follower game model with uncertainty is established, where all uncertain parameters belong to a known set. Secondly, based on the uncertain parameter set, the payoffs of both the leader and the followers are reduced to a certain set. Furthermore, a robust weak Nash equilibrium for this game is defined under l-type set relation and its existence is further proved. Finally, most of those equilibria for such games are generically stable under perturbations of payoff function sets. The above existence and stability of robust weak Nash equilibria are up to date.