In order to evaluate the cryogenic compressive properties of G-10CR and SL-ES30 woven glass-epoxy laminates for superconducting magnets in fusion energy systems, compression tests were performed at room temperature (R. T.), liquid nitrogen temperature (77K) and liquid helium temperature (4K). These tests were conducted in accordance with JIS K 6911 and JIS K 7056. Compression specimens of G-10CR with different specimen length to cross-sectional area ratios were tested in the normal direction (normal to the glass cloth). Compression specimens of SL-ES30 with different specimen length to cross-sectional area ratios were also tested in the warp, fill and normal directions. The effects of temperature and specimen geometry on the compressive properties were examined. Photomicrographs of actual failure modes were utilized to verify the failure mechanisms.