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This letter reports the fabrication of PbZrxTi1-xO3 (PZT) thin-film capacitors on flexible plastic substrates. The PZT film was formed on a wafer using a sol-gel method and transferred to a thin plastic substrate using an elastomeric stamp. The PZT film on the plastic substrate showed a well-saturated hysteresis loop with a Pr of ~ 20μC/cm2 and a Vc of ~1.1 V at a supplied voltage of 3 V, which are similar to those observed for PZT films on rigid wafers, as well as stable operation under an 8-mm bending radius. These characteristics suggest promising applications in flexible electronic systems.