The authors study the stability and convergence properties of the streamline-diffusion finite element method (SDFEM) discretization for nonconforming elements on tensor-product rectangular meshes. The analysis in this paper shows that no jump terms are needed to stabilize the method as propsed in earlier works dealing with nonconformal elements. Further, it is shown that under reasonable assumptions, convergence results similar to those for conforming methods are obtained. The similar stability and convergence results, however, fail to hold true for analogous piecewise nonconforming elements.