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Non-stoichiometric (Pb0.97La0.02)(Zr0.95Ti0.05)1+yO3 (y = −0.03, −0.01, 0.01 and 0.03) antiferroelectric ceramics were successfully prepared via a solid-state reaction route. X-ray diffraction analysis indicated that a perovskite structure was obtained for all compositions. The effects of non-stoichiomotery content and temperature on dielectric properties and energy storage performance of PLZT2/95/5 ceramics were systematically investigated. The ceramics with all non-stoichiometric additions undergo two phase transitions during heating from 140 to 240°C: anti-ferroelectric-ferroelectric and ferroelectric-paraelectric phase transitions. With the y values increasing, both dielectric constant and transition temperature of the ceramics gradually increased. A maximum recoverable energy-storage density of about 0.98 J/cm3 with efficiency of 82.1% was obtained in (Pb0.97La0.02)(Zr0.95Ti0.05)0.97O3 ceramics at 60 kV/cm, which is due to the excess A-site content induced by non-stoichiometric adjustment. All the corresponding energy efficiencies were no less than 80%. These results indicate that non-stoichiometric (Pb0.97La0.02)(Zr0.95Ti0.05)1+yO3 ceramics with a large recoverable energy-storage density could be a potential candidate for applications in high energy-storage density ceramic capacitors.