With the rapid expansion of laser application fields, the laser with ultra-high peak power and ultra-narrow pulse width has gradually become one of the important research directions of the laser fields in the future. These laser with ultra-high electric field energy posed a challenge for high precision laser power measurement. And the traditional methods of laser power measurement, such as photoelectric method, pyroelectric method and calorimetry etc., have gradually revealed the disadvantages that they are not suitable for the abovementioned laser. Besides, these traditional methods are difficult to achieve real-time online measurement. In order to overcome these difficulties, a new method of laser power measurement is needed. Therefore, a method of light radiation pressure for laser power measurement is proposed by the organization represented by the National Institute of Standards and Technology. This method makes the laser incident on the mirror with high reflectivity, and the momentum of laser photon converts into light radiation pressure on the mirror, and the light radiation pressure can be measured by a variety of mechanical sensing modalities. It can not only achieve rapid and accurate measurement of laser power, but also have no influence on laser transmission. Besides real-time online laser power measurement is also possible. In this paper, the basic principle, the system, and the research status of laser power measurement using optical radiation pressure method at domestic and foreign were reviewed systematically. The future developments of this method were discussed in detail.