A task management method is provided for preventing a task that can cause a failure in a system from being aborted during a manipulation of the task. A program execution means transmits information on an attribute of a function under execution, and queries about the execution of an abort for a task to which the function belongs. The task execution determination means determines whether the abort should be executed based on the attribute of the function under execution. A task attribute recognition means stores the attribute of the function under execution in a task attribute information storage means, and returns the stored attribute of the function in response to a query about the attribute of the function from the task execution determination means.