The stratopause, the boundary between the stratosphere and the mesosphere, is projected to cool and move lower in response to anthropogenic greenhouse gas emissions. We use observations from two satellite instruments to assess the annual and inter-annual variability and to quantify trends in the stratopause temperature and height. We find that the stratopause cooled by ~0.5–1 K per decade and that the tropical stratopause moved lower by 300–475 m per decade during 2005–2021.