Abstract: Under-frequency load shedding is an important means of dealing with frequency drops caused by battle damage in the ship power system, and the localized load shedding strategy similar to the land power grid is generally used. However, unlike the land power grid, the load priority of the ship power grid will vary with the needs of combat, maneuver, and other working conditions, and it is difficult to adapt to the changes in working conditions by using fixed priority localized load shedding. More flexible centralized load shedding is a potential solution, but it requires high communication. However, due to the possible failure of some communication under battle damage and uncertain and non-negligible communication/ execution delays, centralized load shedding may collapse the power grid caused by partial load removal failure or delay, and its reliability is difficult to meet the requirements. To combine the two advantages, this paper proposes an under-frequency load-shedding strategy for a war-damaged ship power system with multi-condition adaptability using a localized-centralized joint implementation scheme. Firstly, the load priority of the ship under different working conditions is defined. Then, the remote load-shedding load response process with partial communication failure and communication/execution delay is modeled to quantitatively analyze the execution effect of centralized load-shedding commands. Subsequently, a time-frequency domain dynamic analysis model of the power system considering the joint implementation of centralized and localized load shedding was established to predict the frequency evolution curve under different load shedding combinations to find the optimal localized-centralized load shedding combination scheme. Finally, taking a typical ship power system as an example, the simulation verifies the multi-condition adaptability of the strategy, the reliability under channel damage/uncertainty delay, and the superiority over other load-shedding schemes.