In order to verify the feasibility and accuracy of multi-point distributed measurement of remote sensing camera by optical fiber grating sensor under strong vibration environment, the application of Fiber Bragg Grating (FBG) in the field of spatial remote sensors vibration sensing was realized. Firstly, the finite element simulation model of optical remote sensing camera was builded, modal analysis and vibration response analysis were carried out. The connection process of optical fiber grating sensor and camera in different parts, forms and materials was designed in the system installation environment, and an experimental method of using optical fiber grating sensor to measure the remote sensing camera with single fiber multipoint distribution was proposed. By comparing the measurement results of optical fiber grating sensor with those of standard piezoelectric vibration sensor, the maximum error of sinusoidal vibration acceleration measurement is 3.25%, and the maximum error of random vibration root-mean-square acceleration response analysis is 3.14%. The measured values are in good agreement with the accuracy of 0.99. The fitting accuracy of simulation analysis results and measurement results reaches 0.97, which has a good consistency. The optical fiber grating sensor has high precision and is feasible for the multi-point distribution measurement of the camera in the strong vibration environment, which can meet the requirements of system monitoring, and provides a reference for the application of fiber grating sensing in the high-precision measurement of strong vibration response of space remote sensors.