Liveness and safeness are important behavioral properties of nets (systems). Many powerful results have been derived for some subclasses of Place/Transition nets (systems). The aim of this contribution is to draw a general perspective of the liveness and safeness for Asymmetric Choice nets (AC nets). Firstly, this paper presents a sufficient and necessary condition for those AC nets which have liveness monotonicity and a polynomial-time algorithm to decide if a given AC system is live and safe, and it satisfies liveness monotonicity. And then the sufficient and necessary conditions of (structural) liveness and (structural) safeness for two subclasses of AC nets (Strong I AC nets, Strong II AC nets) which have liveness monotonicity are presented.