The paper presents the results of the analysis of memristive properties observed in (Ti,Cu)-oxide thin film with gradient distribution of elements, prepared using the multi-source reactive magnetron co-sputtering process. The performed electrical measurements showed the presence of pinched hysteresis loops in the voltage–current plane for direct and alternating current bipolar periodic signal stimulation. Investigations performed using a transmission electron microscope equipped with an energy dispersive spectrometer showed that the elemental composition at the cross section of the thin film was very well correlated with the gradient V-shaped profile of the powering of the magnetron source equipped with a Cu target. The prepared samples were transparent in the visible part of optical radiation. The obtained results showed that the prepared gradient (Ti,Cu)Ox thin film could be an interesting alternative to the conventional multilayer stack construction of memristive devices, which makes them a promising material for manufacturing transparent memory devices for transparent electronics.