Using a barotropic model, the upper atomsphere of Venus is examined for stability to small perturbations of a mean zonal wind. Several assumed mean zonal wind profiles, compatible with Mariner 10 UV observations, are examined with the result that some are stable, while others are unstable. At least one of the unstable profiles exhibits a maximum in the growth rate for wavenumber 3, in agreement with some UV observations of the clouds of Venus. The barotropic model should be useful for performing instability analyses using Pioneer Venus data in 1979.