Metrology experiments can be limited by the noise produced by the laser involved via small fluctuations in the laser's power or frequency. Typically, active power stabilization schemes consisting of an in-loop sensor and a feedback control loop are employed. Those schemes are fundamentally limited by shot noise coupling at the in-loop sensor. In this letter we propose to use the optical spring effect to passively stabilize the classical power fluctuations of a laser beam. In a proof of principle experiment, we show that the relative power noise of the laser is stabilized from approximately \(2 \times 10^{-5}\) Hz\(^{-1/2}\) to a minimum value of \(1.6 \times 10^{-7}\) Hz\(^{-1/2}\), corresponding to the power noise reduction by a factor of \(125\). The bandwidth at which stabilization occurs ranges from \(400\) Hz to \(100\) kHz. The work reported in this letter further paves the way for high power laser stability techniques which could be implemented in optomechanical experiments and in gravitational wave detectors.