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This invention relates to a method and system for ultra-low frequency elastic adaptive fault-tolerant attitude stabilization control of launch vehicles, belonging to the fields of launch vehicle overall design, launch vehicle dynamics and control. This invention proposes for the first time a dual-center frequency adaptive filter that can simultaneously identify two elastic mode frequencies, completely avoiding frequency crossover problems. It has good application effects in handling the adaptive suppression of second and third-order elastic modes throughout the rocket. Furthermore, unlike previous series notch filtering approaches, this invention proposes an elastic suppression strategy based on additive compensation, adding a compensation signal to the original control loop. This compensation signal can be used to control the impact of this loop on the original control system scheme through amplitude limiting and other means. It has a good application foundation in terms of safety and stability, and has good engineering application prospects. Moreover, it has good fault-tolerant adaptability to changes in rocket dynamic characteristics under differences in space and ground design and fault conditions.