Nets, useful topological tools, used to generalize certain concepts that may only be general enough in the context of metric spaces. In this work we introduce this concept in an -poset, a poset with an action of a posemigroup on it which is a very useful structure in computer sciences and interesting for mathematicians, and give the the concept of -net. Using -nets and its convergency we also give some characterizations of separated -posets. Also, introducing the net-closure operators, we investigate the counterparts of topological separation axioms on -posets and study their relation to separated -posets.