A uniform asymptotic expansion in the frequency domain is derived for the Green’s function of the two‐dimensional acoustic equation. The expansion is uniform in that it is valid near the source region. It is not valid for caustics, which can arise due to rapid changes in the gradients of the material parameters, the density, or the bulk modulus. The Green’s function which is obtained describes only the body wave acoustic arrivals in a smoothly varying whole space. Other wave types, such as surface waves or critically refracted (head) waves, are not included in this expansion.