This　paper　addresses　the　exponential　stability　of　impulsive　systems　with　both　pointwise　and　distributed　delays,　where　delayed　impulses　are　considered.　Based　on　impulsive　control　theory,　some　Lyapunov-based　sufficient　conditions　for　exponential　stability　involving　both　impulsive　perturbation　and　impulsive　control　are　derived,　respectively.　Especially,　the　derived　conditions　do　not　impose　any　restriction　on　the　magnitude　relationship　between　the　delay　in　continuous　flow　and　impulsive　delay　in　the　case　of　impulsive　perturbation.　It　also　shows　that　the　delay　in　continuous　flow　might　have　a　potential　effect　on　system　stability.　It　may　not　be　reasonable　for　existing　results　to　assume　a　common　threshold　of　impulsive　strength　at　every　impulse　point,　such　as　e\delta　with　\delta　＞　0　in　the　case　of　impulsive　perturbation.　Here,　based　on　the　proposed　concepts　of　average　impulsive　estimation　and　average　positive　impulsive　estimation,　impulsive　estimation　\deltam　can　be　time-varying,　and　the　information　of　impulsive　delay　can　be　integrated　into　it　to　guarantee　the　effect　of　impulse.　The　results　of　stability　analysis　are　applied　to　the　synchronization　of　complex　networks　with　mixed　delays　and　impulses.　Numerical　examples　illustrate　the　efficiency　of　the　derived　results.　©　2023　Society　for　Industrial　and　Applied　Mathematics　Publications.　All　rights　reserved.