This paper investigates the set stability of probabilistic time-delay Boolean networks (PTDBN) with impulsive effect. Firstly, using the algebraic state space representation, an equivalent stochastic system is established for PTDBN with impulsive effect. Then, based on the probabilistic state transition matrix, a necessary and sufficient condition is presented for the set stability of PTDBN with impulsive effect. Finally, the obtained new result is applied to the networked evolutionary game with memories.