A 10k x 10k single-chip CCD camera was installed on the first Antarctic Survey Telescope (AST3-1) at Dome A, Antarctica in January 2012. The pixel size is 9 μm, corresponding to 1 arcsec on the focal plane. The CCD runs without shutter but in frame transfer mode, and is cooled by thermoelectric cooler (TEC) to take advantage of the low air temperature at Dome A. We tested the performance of the camera in detail, including the gain, linearity, readout noise, dark current, charge transfer efficiency, etc. As this camera is designed to work at Dome A, where the lowest air temperature could go down to -80°C in winter, we tested to cool not only the CCD chip but also the controller which usually is operated at normal temperatures for ground-based telescopes. We found that the performance of the camera changes a little when the controller is cooled.