The present invention discloses a method for solving complicated problems in task-flow mode, being applicable to a reconfigurable high-performance computer system. A form of Five-Tuple Array (T, R, SC, EC, TS) represents the way for solving a problem under the mode of task-flow, wherein, T is a finite set of tasks, R is a relation set among tasks, SC is a starting condition set of tasks, EC is a terminal condition set of tasks and TS is a finite sequence set of tasks. On a premise of no restriction by factors such as resources, the preferred plan for solving problems is possibly used as a drag, the grain size of soft and hard task are reasonably divided, the system is restructured according to problems and requirements of task and high cost-effectiveness and high utilization rate are achieved. The method processes tasks as a basic unit, provides the definition of task-flow, the division principles of tasks as well as various forms of task-flow. The model can be used for the parallelism depiction of different grain sizes and lays a foundation for accurately and clearly dividing tasks and depicting task-flow oriented reconfigurable high-performance computation.