Purity is one of the important concepts in Algebra, which was studied by many others in Acts, modules, and groups. An K-K-subact B of K-act is SP-sub-act, if every a ∈ A and a ∉ B, there is a pure K-subact P of A that contains B and a ∉ P. Now we describe that an SP-sub-act L in K-act A, if and only if, Lj are pure K-subacts of A, for each j ∈ J, and L = ∩j∈J Lj. SP-subact as a generalization of purity. We discuss many Algebraic properties. We found the relationship between SP-sub-act idempotent subact, and multiplication.