A pixel circuit of an organic light-emitting display and a method of driving the same, and an organic light-emitting display are disclosed. The pixel circuit includes at least a first thin film transistor, a second thin film transistor, a third thin film transistor, a fourth thin film transistor, a fifth thin film transistor, a first capacitor, and a light-emitting diode. The pixel circuit and the method for driving the same enable a gate voltage and a source voltage of the first thin film transistor to be coupled and maintained in a control signal write phase and also compensate for a threshold voltage drift of the first thin film transistor so as to address the problem in prior art of non-uniform light emission by the OLED due to the threshold voltage drift of the drive transistor or the instable voltage across the gate and the source of the drive transistor.