By means of the linear response method, the surface-dressed optical Bloch equations (SBE) for atoms absorbed on a solid surface are obtained. These SBE are different from the earlier oxies. The difference-lies in the fact that here the influences of the solid surface on the spontaneous decay rate and the Lamb shift of the adsorbed atoms have been taken into account. Using the SBE and the regression theorem, the resonance fluorescence spectrum for the adatoms are obtained. Through analyzing these spectrum spectrum for the adatoms are obtained. Through analyzing these spectrum numerically, it is found that the aolid surface will exert a significaarfc influences both. on. the sidebands aad p?ak hights. Namely, when the adatoms approach the surface, the distance between the two sidebands will become larger and the height for each paak will go down until the peaks disappear one by one.