In this study, properties of soft norm on soft linear space have been studied. Some new properties of soft vector in soft linear space are introduced. A notion of soft linear space and soft norm on a soft linear space have been presented and some of their properties have been studied. Completeness of soft normed linear spaces, equivalent soft norms and convex soft sets are discussed and some of their properties are examined in soft normed linear space. The soft linear operator, soft continuous operator and their properties has been studied.