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<p>Improved digital elevation models (DEMs) of the Antarctic and Greenland ice sheets are presented, which have been derived from Global Navigation Satellite Systems-Reflectometry (GNSS-R). This builds on a previous study (Cartwright et al., 2018) using GNSS-R to derive an Antarctic DEM but uses improved processing and an additional 13 months of measurements, totalling 46 months of data from the UK TechDemoSat-1 satellite. A median bias of under 10&thinsp;<span class="inline-formula">m</span> and root-mean-square errors (RMSEs) of under 53&thinsp;<span class="inline-formula">m</span> for the Antarctic and 166&thinsp;<span class="inline-formula">m</span> for Greenland are obtained, as compared to existing DEMs. The results represent, compared to the earlier study, a halving of the median bias to 9&thinsp;<span class="inline-formula">m</span>, an improvement in coverage of 18&thinsp;%, and a 4 times higher spatial resolution (now gridded at 25&thinsp;<span class="inline-formula">km</span>). In addition, these are the first published satellite altimetry measurements of the region surrounding the South Pole. Comparisons south of 88<span class="inline-formula">^∘</span>&thinsp;S yield RMSEs of less than 33&thinsp;<span class="inline-formula">m</span> when compared to NASA's Operation IceBridge measurements. Differences between DEMs are explored, the limitations of the technique are noted, and the future potential of GNSS-R for glacial ice studies is discussed.</p>