This paper studies sound scattering by a moving turbulent atmospheric medium, following the work of Clifford and Brown [J. Acoust. Sec. Am. 55, 929-933 (1974)]. A formula for the sound scattering cross section is derived using the Galilean transformation and Snell's law of wave refraction. Effects of the mean flow on the scattering process are examined. Numerical examples show that, unlike the zero-flow case, there exists a nonzero cross section at right scattering angles for scattering from both velocity and temperature fluctuations. More importantly, the mean flow may give rise to significant contributions to the backscattering the zero-flow case and the previous results. (C) 1997 Acoustical Society of America.