We will consider soft topologies defined on the same universe X with E as the set of parameters. It is shown that soft topologies are not equivalent to the general topologies defined on X . Moreover, some implications between soft separating axioms are different than those for ordinary topological spaces. The relation of similarity of soft topological spaces is also introduced and examined. The soft topologies T 1 and T 2 on X are called similar, if the families T 1 and T 2 are mutually coinitial. We study some basic properties of similar soft topological spaces: we check whether the family of all such spaces forms a lattice, we examine the relationship between similarity and being homeomorphic and consider the similarity of e -parameterized topologies.