Glass-reinforced polyurethane foam (R-PUF) is widely used as the primary and secondary insulation of Mark-III type liquefied natural gas (LNG) cargo system. And, polyurethane foam (PUF) and polyisocyanurate foam (PIR) are often used for insulation of onshore structures or LNG storage and pipeline system. These polymeric foam materials are known for the characteristics that mechanical properties are dependent on strain rate and temperature. In this study, compression tests for R-PUF, PIR, and PUF were carried out for the estimation of mechanical behaviors under the cryogenic environment. The range of thermal condition was from room temperature to 110K and strain rates were $10^{-3}s^{-1}$ and $10^{-4}s^{-1}$. The test results were analyzed based on the conditions of strain-rate and temperature.