Global atmospheric models have now become sufficiently high resolution to resolve explicitly even quite small atmospheric gravity waves. These waves transport energy and momentum from the lower to the middle/upper atmosphere, and play a fundamental role in driving large-scale atmospheric circulation. This paper compares three high-resolution models (horizontal resolution less than 5 km) with observations made by the AIRS satellite. Although there are significant areas of agreement, models continue to underestimate amplitudes and overestimate gravity wave occurrence. In particular, there is major room for improvement in the modelling of convective gravity waves.