Biswapped network (BSN) is a recently proposed network model of parallel computing, which is built of 2n copies of an n-node basic network, and its basic network may be hypercube, mesh and other networks, hence we can construct BSN-Hypercube and BSN-Mesh by using hypercube and mesh as basic network. BSN uses a simple rule for connectivity to ensure its regularity and some topological properties of BSN have been investigated. In this paper, we present sorting algorithm on the n processors BSN whose basic network has Hamiltonian path, and if the basic network of BSN is mesh, sorting n unordered elements will complete in time (2n)^1(1/2)+O(n^(3/4)).