The invention discloses a metal and rubber combined vibration isolation device of a space remote sensing camera, which comprises a limiting cover plate, a rubber pad and a mandrel bottom plate, and is characterized in that the limiting cover plate and the mandrel bottom plate are adopted to compress the rubber pad, so that the rubber pad compresses a vibration-isolated object mounting foot, and vibration isolation is realized; a limiting structure used for further accurately controlling the compression amount of the rubber pad is further designed, ideal dynamic rigidity can be obtained in the radial direction and the axial direction of the vibration isolation device, on one hand, the good attenuation effect on high-frequency loads can be achieved, on the other hand, the low-frequency vibration response can be amplified and limited within a certain range, and meanwhile, the vibration isolation device has the good application prospect. The influence of the impact load on the remote sensing camera is effectively isolated; the metal and rubber combined mode is adopted, effective vibration isolation is achieved, meanwhile, the problem that the compression amount is difficult to control is solved, the compression amount of the vibration isolation device can be adjusted only by replacing the metal piece, operation is easy, and reliability is high. The invention further discloses an installation method of the vibration isolation device. The installation method is easy and convenient to operate and high in applicability.