The pattern formation on nonuniform surfaces by correlated-random sequential absorption (CRSA) Process has been investigated by computer simulations. The nonuniform surfaces are represented by percolation clusters with probabilities ps and ps stands for the nonuniform degree of surfaces. The interactions between the particles and the defects in surfaces are involved by introducing a sticking coefficient s. When s-0, the CRSA process is controlled by the absorption of surfaces and the correlation between particles. With the correlation increasing from a weak limit to a strong one, the cluster consisting of absorbed particles changes from the dispersed pattern of site percolation to correlated percolation, and then to Leath percolation clusters. When s-1 and ps-pc, the CRSA process is dominated by the absorption of the defects, where pc is the threshold of percolations. The patterns appear randomly dispersed in spite of the correlation. With the decrease of s and increase of ps, the interaction controlling the CRSA process changes from the absorption of defects to that of surface and the correlation between particles gradually. For the system s-0, the transition correlation exponent ac=ds , where ds is the fractal dimension of the percolation surfaces.