This paper puts forward a novel asynchronous adaptive event-triggered slding mode control scheme for nonlinear fuzzy stochastic quantized systems, which are controlled by Markovian jumping with partly known transition rates and actuator failures. Firstly, we design innovative dynamic event-triggering mechanism based on quantized state and quantized trigger state errors, which can avoid the waste of resources and is better than the time-triggering mechanism. Secondly, a mode-independent common sliding surface is employed and an asynchronous signal quantization controller is developed with the adaptive sliding mode fault tolerance.