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A new apparatus with constant voltage to measure the flux of atomic hydrogen beam in hydrogen maser is developed and verified in this paper, which consists of series circuit with thermistor and the temperature-controlled cylinder etc. During the measurement, the flux of atomic hydrogen beam can be transferred in the flux voltage signal on the measurement thermistor through self-heat and the temperature on this apparatus is controlled to reduce the influence of environment temperature. This apparatus is installed on the physical package of hydrogen maser and then the supply voltage of series circuit is optimized. The test result shows that the flux voltage signal on the measurement thermistor is correlated positively to the flux of atomic hydrogen beam induced by the Nickel purifier voltage under the optimal working parameter. The variation of Nickel purifier voltage 0.1V can change the flux voltage signal about 23.7mV when the Nickel purifier voltage is 1V. Compared with the ion current characterizing the flux of atomic hydrogen beam traditionally, the noise of the flux of atomic hydrogen beam measured by the new apparatus is 3 orders of magnitude lower than the ion-pimp current. So this new apparatus can measure the flux of atomic hydrogen and the measured flux voltage signal can characterize the flux of atomic hydrogen more precisely which can be the error to stabilize the flux of atomic hydrogen beam entering the storage bulb and to fulfill the requirement of the long term frequency stability of Hydrogen Maser in the future.