The Compton current arising due to strong neutron and gamma pulses in air is estimated by detailed modeling of coupled neutron-gamma-electron transport. A method has been developed to generate the electron source from the space-time-dependent gamma fluxes. Transport of electrons is treated by a simple model based on the Goudsmit-Saunderson approach. The energy spectra of the interacting particles are investigated at different times. The effect of the multienergy group structure of the particles involved on Compton current has been analyzed. The role of the secondary gamma in prolonging the current waveform is discussed.