In　this　paper,　we　investigate　the　adaptive　fast　finite-time　tracking　control　problem　for　a　class　of　uncertain　nonlinear　strict-feedback　systems　by　using　backstepping　technique　and　fast　finite-time　stable　theory.　Dynamic　surface　control　approach　is　introduced　to　reduce　the　computational　complexity　because　of　the　repeated　differentiation　of　virtual　signals　in　the　traditional　backstepping　algorithm.　By　employing　the　approximation　of　fuzzy　logic　systems,　a　fuzzy-based　adaptive　fast　finite-time　output　tracking　control　approach　is　presented,　which　can　guarantee　the　convergence　of　tracking　error　and　the　boundedness　of　all　closed-loop　signals　in　the　fast　finite-time.　In　the　final,　the　validity　of　the　developed　control　method　is　proved　by　the　simulation　results.