With the deepening of international nuclear disarmament, attribute certification for nuclear material has attracted more and more attention. The fast neutron multiplicity measurement technology－a non-destructive testing method－uses scintillator detector for measurement, which plays a more and more important role in the military control verification system. At present, the fast neutron multiplicity measurement methods for plutonium materials are relatively mature, but the fast neutron multiplicity analysis model and measurement equations of uranium materials are still under development. In order to establish the active fast neutron multiplicity measurement equation for uranium materials, based on the derivation process of neutron multiplicity counting analysis equation, in this paper uses the probability generating function is used to derive the fast neutron multiplicity measurement equation of uranium materials according to the difference between the physical processes of uranium and plutonium materials, without considering the reaction of $ (\alpha , n) $ or the influence of fast neutron scattering crosstalk. On this basis, in order to verify the validity of the measurement equation, Geant4 is used to build a 3 × 8 well-type detection system for simulation measurement. The fitting function relationship between the coupling coefficient and the value-added coefficient, the multiplicity counting rate, and the solution deviation of the quality are analyzed, thereby confirming the reliability and the accuracy of the measurement equation, which is of great significance in developing the fast neutron multiplicity technology.