This review focuses on a new generation of polymers with intrinsic microporosity (PIMs) and their hydrogen storage applications. PIMs are a novel microporous material attracting attention due to their potentially useful functional properties. In this review, the methods of synthesis, suitable characterisation techniques and applications are briefly described. Importantly, the hydrogen capacity of PIMs that have been investigated recently is highlighted and the hydrogen uptake is compared to other microporous materials such as hypercrosslinked polymers (HCPs), metal organic frameworks (MOFs) and activated carbons. This review brings H2 storage-applicable PIMs that have been reported in different studies together for the first time, providing a reference for better comparison of H2 storage in PIMs.