According to software growth, also software maintenance has been continuously improving. In addition, the existing concept of software maintenance process demands operational management and improvement of service task. However, when we perform maintenance task, we have several constraints about applying service based requirement to system. Therefore, in order to solve these problems, we need a study of task of process for service based maintenance. In this paper, we propose a Service based Software Maintenance Process. Proposed process based on MaRMI-RE standard for software development and maintenance and compares it with the service based representative standards. In a related works, we study activity of ITIL and identify activities and tasks for maintenance. After this, identified activities and tasks compare with activities of MaRMI-RE. And then, we derive activities and tasks of a Service based Software Maintenance Process. Finally, we validate a result by comparing the proposed process with a general service operational process.