We investigate ground-state properties of a one-dimensional S = 1 spin-orbital model with or without uniaxial single-ion anisotropy. By means of the density matrix renormalization group method, we compute the ground-state energy, the magnetization curves and the correlation functions. We discuss how the ground-state properties depend on the two exchange couplings for orbital and spin sectors. The phase diagramobtained is compared with that for the S = 1/2 model. We also address the effect of uniaxial single-ion anisotropy.