A stochastic signal generation circuit includes a signal output circuit and a signal processing circuit connected with the signal output circuit. The signal output circuit includes two matching semiconductor components, wherein the signal output circuit detects a slight mismatch between the two matching semiconductor components, converts the detected slight mismatch into a corresponding electric signal, amplifies the electric signal, and outputs an analog voltage signal. The signal processing circuit converts the analog voltage signal into a stochastic digital signal. Also, a method for generating a stochastic signal is provided. The present invention decreases the cost of the integrated circuit, and better ensures the information security of the electronic products.