A spring drive system for a window shade includes a housing, a first and a second gear engaged with each other and respectively assembled about a first and a second pivot axis, two springs respectively assembled at two opposite sides of the second gear and respectively connected with two take-up reels provided on the first gear, a first cord drum and a third gear fixedly connected with each other and assembled about a third pivot axis, the first and third gears being respectively located at different levels along the first and third pivot axes and respectively engaged with a first gear train, a second cord drum and a fourth gear fixedly connected with each other and assembled about a fourth pivot axis, the second and fourth gears being respectively located at different levels along the second and fourth pivot axes and respectively engaged with a second gear train.