The studies of, creep and damage of fine sandstone under step loading of pore water pressure are carried out by triaxial compression creep tests using the coal and rock computer controlled rheological testing machine RLW-2000 M. The highlights include studies of volumetric strain(rate) and equivalent pore volume(rate) evolution curves of rock creep under different stepwise loadings of pore water pressure. In addition, evolutions of rock creep curves are analyzed. The results show that the creep curves are consistent with three stages in typical creep process. The evolutions of pore volume are consistent with three stages in damage process of the microholes under stepwise loading of pore water pressure. The theoretical analysis of creep curves by Nishihara model was validated by experiments.