Warming commonly causes high clouds to rise in cloud-resolving models (e.g., Kuang & Hartmann, 2007) and Global Climate Models (e.g., Soden & Vecchi, 2011). All else being fixed, increased cloud top height amplifies warming by suppressing changes in cloud top longwave radiative cooling to space. Furthermore, clouds respond to the detailed spatial structure of temperature and dynamical changes (Andrews et al., 2015;Su et al., 2017;Zhou et al., 2016), so responses to internal variability, such as the El Nino Southern Oscillation (ENSO), and longterm climate change may differ. It is desirable to distinguish between such changes to comprehensively evaluate observed cloud-height changes and model performance. To that end, here we use the Moderate Resolution Imaging Spectroradiometer (MODIS) instruments on NASA's Terra and Aqua satellites to simultaneously diagnose the linear trend and El Nino Southern Oscillation (ENSO)-correlated response of high-altitude cloud heights.The canonical fixed anvil temperature (FAT, Hartmann & Larson, 2002) hypothesis is that the altitude of maximum radiative cooling by water vapor in clear-sky conditions rises under warming as governed by the Clausius-Clapeyron relation, thereby driving anvil outflow at those levels (Boucher et al., 2013). However, full-physics climate models (Zelinka & Hartmann, 2010) and cloud-resolving models (Seeley et al., 2019) support a Proportionally Higher Anvil Temperature (PHAT) behavior where anvil clouds warm, albeit by less than the surface. Observational evidence links a warmer surface to higher cloud altitudes, although this is often limited to interannual variation rather than trends (e.g., Igel et al., 2014).High-cloud feedback also depends on changes in cloud fraction (CF) and optical depth. Multiple factors can change simultaneously, for example, some models show increased altitude and reduced fraction of tropical high clouds under warming (Bony et al., 2016;Cronin & Wing, 2017). A long-running hypothesis has been a