The invention discloses a Fourier transform infrared spectrum quantitative analysis-based transformer oil-immersed gas analysis system and an analysis method thereof. The system comprises a first transformer oil valve, a second transformer oil valve, an oil-gas separation device, a Fourier transform infrared spectrometer with an air chamber, a computer, an oil inlet pipe, a return oil pipe and a gas conveying pipeline. The analysis method comprises the following steps of: performing oil-gas separation on the transformer insulating oil, and then quantitatively analyzing the separated gas by using the Fourier transform infrared spectrometer to realize quick and quantitative analysis of the multi-component gas. The analyzed gas comprises iso-butane, n-butane, carbon monoxide, propylene, propyne, sulfur hexafluoride and water vapor besides methane, ethane, propane, ethylene, ethyne and carbon dioxide in conventional transformer oil-immersed gas analysis. Because of more categories of the analyzed gas, high speed, high resolution, low running cost, safety and reliability, the method is a transformer oil-immersed gas analysis method with broad application prospect.