The first-order propagation (in v/c) of electromagnetic waves in moving isotropic chiral media is studied. The present analysis is based on Maxwell equations, Bohren decomposition, and Minkowski's relations taken to the first order in the velocity. Accordingly, the effect of acceleration on the electromagnetic fields is neglected, thus yielding a new model for solving problems involving moving chiral media in the presence of arbitrary irrotational velocity and stationary boundaries. This new model is demonstrated for a simple and constructive example, that is, transmission and reflection of a plane wave from a plane boundary separating a stationary simple medium and a moving chiral medium.¿ 1997 American Geophysical Union