The invention discloses an active-matrix organic light-emitting diode (AMOLED) display apparatus and a brightness compensation method thereof. At an initial compensation stage, a CCD can be used for performing brightness calibration on a display screen so that a data voltage compensation value of each sub pixel when the brightness parameter value of a display panel is a set value is obtained, first data voltage is output to a corresponding pixel circuit according to the data voltage compensation value of each sub pixel, and at the moment, induction voltage of each sub pixel is taken as initial reference voltage of each sub pixel when the brightness parameter value of the display panel is the set value; and at a subsequent compensation stage, through adjusting the data voltage of each sub pixel, the induction voltage of each sub pixel is enabled to be equal to the corresponding initial reference voltage when the brightness parameter value of the display panel is the set value, and brightness uniformity compensation of each sub pixel in the subsequent compensation state is realized, such that the uniformity and the accuracy of initial brightness compensation are improved, pixel aging is accurately compensated, and the uniformity and the accuracy of subsequent compensation are improved.