Linear frequency modulation signal is a kind of commonly signal form used in modern radar system, through the pulse compression process, high distance and velocity resolution can be obtained. On the research of he basic principle of pulse compression of LFM signal, obtained a method to realize signal pulse compression processing by using the time matchfilter and convolution operation, and ananalysis simulatied in MATLAB is given here.Introduces in detail the pulse compression of LFM signal based on FPGA technology, Xilinx company XC6VLX240T chips and develop software ISE is used to realize the hardware system, and to compare the results with the simulation results, demonstrates the reliability and feasibility of realizing pulse compression by hardware.