To analyze the printfingers of HP TiO2memristor model and compare the differences between the printfingers of the basic model and nonlinear window function models, the features of several typical HP TiO2memristor nonlinear window function models were summarized and a unified model of HP TiO2memristor was proposed. The printfinger analysis of HP TiO2memristor basic model was further developed and the printfinger comparisons of several nonlinear window function models were then performed. The results demonstrated that all HP TiO2memristor models can exhibit hysteresis loops pinched at the origin for any memristor initial state and any amplitude and frequency of the sinusoidal current stimulus. The printfingers of different nonlinear window function models are effected by the corresponding nonlinear drifts, which result in that the generated output voltages and memristances have different transient transition processes, and the effects of the nonlinear drifts become more serious with the increasing memristor initial state values, causing the performances failure of a part of HP TiO2memristor models.