RossThick-LiSparseR model and RossThick-LiTransitN model are typical kernel-driven models. The models can simulate surface bidirectional reflectance accurately. Data of surface targets on soybeans, orchard, lawn, hardwood and corn were measured at visible waveband and near infrared waveband. The inversion of the kernel-driven bidirectional reflectance distribution function(BRDF) model was implemented by regularization method. The ability of two models is accessed by comparing the retrieving results. It is found that RossThick-LiSparseR model has advantage in retrieving albedo at visible and near infrared waveband. The two models have the same ability to retrieve Black-sky albedo.