− In this paper, we introduce the notions of soft β-kernel of soft sets, S∧β-closed sets andS∧β-open sets in soft topological spaces. The concept of S∧β-sets, as a generalization to the classof soft β-open sets, is defined. Some of their fundamental properties that illustrated by examplesare studied. Further, the soft topologies defined by families soft β-kernel of soft sets, S∧β-closedsets are investigated. We show that, the collection of S∧β-sets is Alexandroff soft space