This study presents a new chattering free full-order terminal sliding-mode controller (FOTSMC) for maximum power point tracking of photovoltaic cells. The proposed system consists of two loops, namely seeking loop and tracking loop. The seeking loop utilises an adaptive perturb and observe method for maximum power point (MPP) searching. Since the accuracy of the seeking loop depends on the tracking loop, a new FOTSMC is used in the tracking loop for tracking the MPP. The proposed control law is continuous, and therefore a chattering free system is achieved. Furthermore, since the derivatives of terms with fractional powers do not exist in the control law, the singularity problem, which exists in traditional terminal sliding-mode controllers (TSMCs), is avoided. Stability and robustness of the proposed system is presented. In order to evaluate the results of the system, a traditional TSMC is provided. Afterwards, the performance of the control system is verified through simulation and experiment.