Flexible $ZrO_2$ films as dielectric materials for high-energy-density capacitors were deposited on polyethylene terephthalate (PET) substrates by RF magnetron sputtering. The growth behavior, microstructure and electrical properties of the flexible $ZrO_2$ films were dependent on the sputtering pressure and gas ratio. Although $ZrO_2$ films were deposited at room temperature, all films showed a tetragonal crystalline structure regardless of the sputtering variables. The surface of the film became a surface with large white particles upon an increase in the $O_2/Ar$ gas ratio. The RMS roughness and crystallite size of the $ZrO_2$ films increased with an increase in the sputtering pressure. The electrical properties of the $ZrO_2$ films were affected by the microstructure and roughness. The $ZrO_2$ films exhibited a dielectric constant of 21~38 at 1 kHz and a leakage current density of $10^{-6}{sim}10^{-5}A/cm^2$ at 300 kV/cm.