The invention provides an accelerator mass spectrometry device based on a low energy dispersion RFQ accelerator and a corresponding accelerator mass spectrometry 14C measurement method, belonging to the technical field of accelerator mass spectrometry. The accelerator mass spectrometry device includes: an ion source, a buncher, an RFQ accelerator, an electron stripper, a high-energy analysis system, and a detector, the above components are connected in sequence, and the RFQ accelerator accelerates 14C, 12C, and 13C ions to a certain energy to carry out electron analysis. Stripping to remove molecular ion interference. The invention uses a low-energy-dispersion RFQ acceleration structure as the ion acceleration device in the 14C measurement accelerator mass spectrometry (AMS) system, and realizes the alternate acceleration of 14C, 12C, and 13C ions by alternately changing the RF power fed into the RFQ accelerator. There is no need for steel cylinders, insulating gas, alternate injection systems, etc. in traditional AMS, and the overall structure is simplified.