This paper focuses on the fault estimation problem for continuous-time linear parameter-varying (LPV) systems with actuator faults. To improve fault estimation performance, the time-varying parameter region is partitioned into multiple parameter subregions, such that switching LPV fault estimator is designed for each subregion.  Meanwhile, the adjacent subregions are designed to contain overlapping regions,  which are convenient for implementing hysteresis switching to ensure the stability of switching estimator and avoid chattering problem.  Moreover, to eliminate the observer matching condition,  the switching LPV intermediate  estimator is developed via introducing an  intermediate variable. Then, the estimation error systems driven by switching intermediate  estimator with hysteresis switching are guaranteed to be stabilized via using the multiple parameter-dependent Lyapunov functions. Finally, the effectiveness of the proposed switching LPV   intermediate estimator  is validated through utilizing a numerical simulation.