Mission effectiveness may be defined as a probability that a system can successfully meet an intended mission demand within a given time when operated under specified conditions. This study deals with the Mission effectiveness of a replenishment ships that is performing several types of missions. The essential attributes and their related factors affecting the replenishment missions are established, and then, a mathematical mission effectiveness model is constructed with a replenishment mission characteristics for a basis. Mission effectiveness for a mission is determined by finding the joint probability measure of the following three attributes : operational readiness of the replenishment ships at the start of a mission ; mission reliability of the replenishment ships ; capability of successfully accomplishing intended objectives given an environmental condition. The model is solved analytically. Operational readiness of the replenishment ships in found by the assumed data. Mission reliability and capability are calculated based on the assumed probability distributions. The model would be a useful tool to evaluate mission effectiveness as it is very a replenishment ships.