Abstract: Based on the equivalence of the expanded spaces, the uniformly-divided 7th B-spline basis function is constructed. The static and dynamic analysis of structures shows that the basis function has good approaching property, adaptability, as well as feasibility. Adopting the basic idea of subintervals, this paper develops the recurrence algorithm of the uniformly-divided 7th B-spline subintervals. The recurrence algorithm is conditionally stable and suitable for the finite dimensional dynamic response calculation, but, the infinite dimensional, unconditionally stable dynamic response can also be calculated in a similar way. The results of 7th B-spline can be applied in various fields requiring approximate computation.