In this paper, since the Avalanche Photo Diode (APD) for Light-to-Voltage LTV conversion uses a high voltagein the operating range unlike other Photo Diodes (PD), the quenching resistor must be connected in series to prevent overcurrent when using the Transimpedance Amplifier (TIA). In such a case, quenching resistance may affect the transfer function of the TIA circuit, resulting in serious stability. Therefore, in this paper, by analyzing the effect of APD quenching resistance on the voltage and current loop transfer function of TIA, we proposed a loop analysis and a method for determining the quenching resistance value to improve stability. A TIA circuit with quenching resistance was designed by the proposed method and its operational stability was verified through simulation and chip fabrication.