The present invention provides a pixel driving circuit, a driving method thereof, and a display device. The pixel driving circuit of the present invention comprises a data writing unit, a threshold compensation unit, a driving unit, a light-emitting unit, and a voltage stabilizing unit; the data writing unit is connected with a first node, a scan signal line and a data signal line; the first node is a connection node between the data writing unit and the driving unit; the threshold compensation unit is connected with the first node, a first control signal line, a first voltage terminal and the driving unit; the driving unit is connected with the light-emitting unit; and the voltage stabilizing unit is connected with the data writing unit, a second control signal line and the first voltage terminal.