Task preemption is a critical mechanism for building an effective multitasking environment on dynamically reconfigurable processors. When being preempted, necessary state information of the interrupted task in registers and distributed internal memories must be correctly preserved. This paper aims at studying a method for saving and restoring the state data of a hardware task, executing on a dynamically reconfigurable processing array, taking into account the great amount and the distribution on different storage elements of data. Performance degradation caused by task preemption is minimized by allowing preemption only at predefined points where demanded resources are small. Specifically, we propose: 1) algorithms to insert preemption points subject to user-specified preemption latency and resource overhead constraints; 2) modification steps to incorporate the offered algorithms on the system design flow. Evaluation results on the NEC DRP architecture show that the proposed method achieves a reasonable hardware overhead (from 6% to 14%) while satisfying a given preemption latency.