A μ-way t-solely balanced set is a μ-way (v, k, t) Steiner trade T = {T1, T2, . . . , Tμ} such that Ti and Tj (1 ≤ i < j ≤ μ) Contains no common (t + 1)-subset. The onesolely sets are the most important tool for building Steiner trades. In this article we introduce some techniques for construction the one-solely sets and related Steiner trades.