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A large number of floating-point exponential calculations are involved in nuclear power plant instrumentation based on FPGA,and the methods for hardware implementation of exponential function are studied, an improved series approximation algorithm is proposed, aiming at solving the problems such as small calculation scale, low precision existing in CORDIC algorithm and linear approximation algorithm. The lookup table and series approximation algorithm are combined in the proposed algorithm, with input data splitting into two part. It takes advantage of the lookup method and the linear approximation, and can work even using a few expansion series. The validity of the improved algorithm is simulated in Matlab, and algorithm is programmed using Verilog and verified on the IGLOO2 series FPGA of Microsemi Corporation. The Matlab simulation result and the implementation result on FPGA demonstrates that this method can expand the calculation capacity and with high accuracy.