We concern extension of gas-kinetic scheme of BGK type to reactive fluids, and develop an adaptive moving meshes BGK scheme (AMMBGK). We derive systems from a mass fraction BGK model for detonation fluids, including both inviscid and viscous reactive flow systems. Then, based on a BGK type scheme and splitting method that splits system into fluid part and part of energy released from reaction process, we present a mass fraction BGK scheme on moving meshes for reactive flows. Numerical results validate availability of the gas-kinetic scheme in simulation of reactive fluids.