G4-STORK (Geant4 Stochastic Reactor Kinetics) is a time-dependent Monte Carlo particle physics code for reactor physics applications. G4-STORK was built using the Geant4 Monte Carlo toolkit and is designed to model the continuous evolution of a population of neutrons in space and time. From this evolution, various important reactor physics quantities can be calculated, including the reactivity of the system and the entropy of the neutron spatial distribution. System properties, such as the temperature of a material, can be changed incrementally to approximate time dependence. Thus, G4-STORK can be used to model reactor kinetics and was used to simulate a system that underwent an instantaneous increase in temperature.