Polymer-bonded explosives (PBXs) are typical particulate composites of energetic crystals in a polymer matrix, which have a volume fraction of 60% to 95%. They are engineered to provide reliable performance and maximum safety envelopes through reduction of their sensitivity. There are three kinds of polymer-bonded explosive materials; namely, PBX1, PBX2, and PBX3. The last two polymer-bonded explosives were recently invented, in search of the more insensitive polymer-bonded explosive but with high detonation energy also. To investigate the dynamic response of new materials, the uniaxial compressive stress-strain behavior of the three polymer-bonded explosives was investigated as a function of temperature and strain rate. Constant and non-constant strain rate loading experiments were conducted in the use of pulse shapers. By comparing two different loads, the strain rate effect of these materials was found to depend on the instantaneous strain rate. The variations in failure stress, and failure strain with temperature, strain rate, and material composition were examined. The dependence of compressive strength on temperature and strain rate can be attributed to the Young's modulus and fracture surface energy according to Griffith criteria for fracture. The axial splitting caused by brittle fracture for most conditions was also investigated. Another failure mode of PBX2 agreed with the Mohr's failure mode criterion. All results show that PBX2 has more stable mechanical behavior and higher detonation performance.