Provided are a flowmeter verification device and a verification method thereof. The device comprises a volume pipe I31, a volume pipe II29, a working piston I and a working piston II which are arranged in the volume pipe I and the volume pipe II, a synchronous motor I and a synchronous motor II which are connected with the working piston I and the working piston II, a photoelectric sensor I and aphotoelectric sensor II which are installed on the volume pipe I, a liquid storage tank 25 connected with the volume pipe II, a data collection unit 40, a computer and the like, a flowmeter to be verified is installed at the two ends of the volume pipe I and the volume pipe II, liquid which is the same as liquid flowing through the flowmeter actually is injected into the volume pipe I, the synchronous motor I and the synchronous motor II drive the working piston I and the working piston II to work to trigger the photoelectric sensor I and the photoelectric sensor II, time for the liquid to flow through the flowmeter to be verified is read, then the liquid is discharged into the liquid storage tank so that the volume of the liquid which flows through the flowmeter to be verified can be measured, the normal flow which flows through the flowmeter to be verified is calculated, according to readout data of the flowmeter to be verified, a readout error is calculated, and according to the error, whether or not the flowmeter is qualified is judged. According to the device and the method, measurement is convenient, and the data is accurate.