We have studied the electronic structure of the partially N-adsorbed Cu(100) surface, where a lattice contraction is spontaneously induced on the clean Cu region. As a result, an increase of the d-band width due to the lattice constant reduction on the clean Cu region was experimentally confirmed. The shift of the sp-state above the Fermi level was also observed. The experimental facts were well reproduced by first-principles calculations for the strained Cu(100) surface. An interpretation of the strain-induced change on the surface electronic structure in terms of tight-binding model, suggested here, will be useful to discuss the surface chemical reaction change due to the lattice strain.