This article investigates the finite-time output tracking problem for a class of nonlinear systems with multiple mismatched disturbances. To efficiently estimate the disturbances and their derivatives, a continuous finite-time disturbance observer (CFTDO) design method is developed. Based on the modified adding a power integrator method and CFTDO technique, a composite tracking controller is constructed such that the system output can track the desired reference signal in finite time. Simulation results demonstrate the effectiveness of the proposed control approach. K E Y W O R D S composite control, continuous finite-time disturbance observer, finite-time tracking control, mismatched disturbance, nonlinear system Int J Robust Nonlinear Control. 2020;30:4095-4111.wileyonlinelibrary.com/journal/rnc