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The method of single photon counting uses the characteristic that photon detector outputs naturally discrete electrical signal under low-light irradiation. It identifies and extracts the very weak signal by pulse-screening technology and digital-counting technology. First the article introduces the principle of the single photon counting system, and researches in-depth to the weak signal amplifier, design and the circuit simulation shows that the weak signal amplifier has a lot of characteristic of the big Bandwidth, the high gain, the low noise, the small volume. This weak signal amplifier designed to meet the conditions of use of the single-photon counter amplifier module, and can play a good role in the measurement techniques in single photon counting, making measurements more accurate.