The invention discloses a moving camera stabilizer and a stability control method of the moving camera stabilizer. The moving camera stabilizer is mainly composed of a camera fixing support, a gyroscope sensor, an elevation motor, an elevation angle sensor, an elevation drive circuit, an elevation roll motor connecting rod, a roll motor, a roll angle sensor, a roll drive circuit, a fixing connecting rod, a button control circuit, a power supply circuit and a battery. The moving camera stabilizer and the stability control method of the moving camera stabilizer can achieve adaptive adjustment of the moving camera, so that the moving camera can be kept in the stable state no matter the stabilizer is held by hands or is fixed to a moving device, the viewing angles of images shot by the moving camera are kept relatively the same, and the obtained images meet the requirements of a user.