Modeling of earth observing satellite (EOS) application task is an important part in EOS mission planning and scheduling. From the perspective of the system components, characters of application tasks of EOS and modeling factors, a detailed analysis of EOS application task was accomplished. Among them, task periodicity, strict time limits, entity property complexity and suddenness of mission were investigated in characters of EOS application task. The constraints of task and actions were taken for the main modeling factors and applied to model EOS application task by plan domain define language (PDDL). Finally, through designing a case that EOSs take images from point target, the modeling method presented is illuminated and validated.