H-shaped polymer is one type of polymer with light branched topological structure, which possesses unique rheological properties, bulk and solution assembly behaviors different from linear, star and hyperbranched polymers. In the recent years, researchers mainly focus on how to accurately construct H-shaped polymers due to their complex synthesis process. However, the literatures on H-shaped polymer and their properties are still limited and no review about them is reported. In this article, the synthesis and properties of H-shaped homopolymers, copolymers, terpolymers, quintopolymers and other H-shaped polymers are summarized according to the different building blocks of H-shaped polymers. On this basis, the research trends are also expected based on the progress of this kind of polymer.