An organic light-emitting display panel, a driving method thereof, and an organic light-emitting display device are provided. The organic light-emitting display panel includes a pixel driving circuit comprising an organic light-emitting element, a driving module, an initialization module, a data write-in module, and a light-emitting control module. The driving module includes a control end, a first end and a second end. The light-emitting control module is configured to transmit a signal to the second end of the driving module. The driving module is configured to drive the organic light-emitting element to emit light based on the signal transmitted by the light-emitting control module. The initialization module is configured to initialize a voltage level of the control end and a voltage level of the first end of the driving module. The data write-in module is configured to write a data signal into the control end of the driving module.