In this talk,we shall present a new Robin-type nonoverlapping domain decomposition preconditioner.The unknown variables to be solved in this preconditioned algebraic system are the Robin transmission condition on the interface,which are different from the well-known DD methods like substructuring nonoverlapping DD method and FETI method.By choosing suitable parameter on each subdomain boundary and using the tool of energy estimate,for the second-order elliptic problem,we prove that the condition number of the preconditioned system is C(1+log(H/h))^2,where H is the coarse mesh size and h is the fine mesh size.Numerical results shall be given to illustrate the efficiency of our DD preconditioner.