A circuit and a method for driving pixels of an organic light-emitting display are provided. The circuit comprises a thin-film transistor having a source terminal connected to a voltage source, a storage capacitor having a first terminal connected to a gate terminal of the thin-film transistor, and an organic light-emitting diode having a cathode connected to a ground. The gate terminal and a drain terminal of the thin-film transistor are connected in a clamping phase and a reverse phase. A second terminal of the storage capacitor is connected to the ground in the clamping phase, and is connected to a data line in a light-emitting phase and in the reverse phase. An anode of the organic light-emitting diode is connected to the drain terminal of the thin-film transistor in the light-emitting phase and in the reverse phase.