By analyzing the electronic noise sources of shot noise photodetector based on the L-C coupled transimpedance amplifier circuit, the effect of the parasitic capacitance of the utilized inductance on the electronic noise was theoretically investigated and experimentally validated. The result shows that the parasitic capacitance of the inductor may increase the electronic noise of the detector via increasing the input voltage noise gain of the transimpedance amplifier. Given that the total inductance of the L-C circuit is 1 mH, the contribution to the electronic noise of choosing two series inductor with 0.5 mH each is much smaller than that of choosing a single inductor with 1mH. Furthermore, the higher the self resonant frequency of the inductor is, the smaller the parasitic capacitance and thus the smaller the electronic noise will be. The experiment results show that, at the analyzing frequency of 2.5 MHz, the electronic noise reduction of the two inductors in series with inductance of two 0.5 mH and resonance frequency of 6 MHz can reach up to 3 dB, compared to that using a single 1 mH inductor with the resonance frequency of 1.6 MHz. Under a certain incident optical power, the signal-to-noise ratio of the detector can be thus improved effectively.