The structured illumination adopted widely in super-resolution microscopy imaging works for the ghost imaging scheme also. Here, we studied the ghost imaging scheme with sinusoidal-structured speckle illumination, whose spatial resolution can surpass the Rayleigh resolution limit by a factor of 2. In addition, even if the bucket intensity signal originated from the diffraction of the object plane with a certain distance, the improvement of spatial resolution is still effective. Our research shows that the structural illumination method, an independent super-resolution technology, is expected to be grafted with a variety of super-resolution ghost imaging schemes to further improve the resolution of imaging systems, such as the pseudo-inverse ghost imaging.