The control of nonlinear systems subjected to parametric uncertainty and achieving stabilizing behavior in finite-time is a challenging task. In this paper, the problem of finite-time stabilization of a general class of nonlinear systems with parametric uncertainty is investigated. We utilize backstepping technique and a recursive design procedure to obtain the finite-time stabilizing controller and a suitable parameter updation law. Among the numerous chaotic systems whose dynamical structure is similar to the nonlinear system dynamics proposed in this paper, we present the simulation results of Genesio-Tesi chaotic system and Sprott circuit which demonstrate the successful validation of the proposed methodology.