Reconfigurable processors are those whose contexts are dynamically reconfigured while they are working. We focus on a reconfigurable processor called FE-GA (Flexible Engine/Generic ALU array) for digital media processing. Currently, FE-GA does not have its dedicated behavior synthesis tool. In this paper, we design FIR filters and propose an algorithm to map them onto it automatically. For given an order and coefficients of an FIR filter, the algorithm generates a dedicated assembly code which represents a given FIR filter for FE-GA. Then an editor called FEEditor reads the generated assembly code and implements its corresponding FIR filter on FE-GA. The proposed algorithm achieves automatic mapping of FIR filters of all orders within the range of the specification of FE-GA architecture. Furthermore, it is proved that a minimum cycle is achieved to execute FIR filtering if there is no thread switching.