Chiral structures not only exist in nature widely, they also emerge in artificial systems, attracting myriad attentions due to their excellent mechanical, optical, electrical, and magnetic properties. Self-assembly of chiral block copolymers (BCPs*), where at least one block consists of chiral centers, represents a facile strategy to form helical/spiral/network structures with a controlled chirality. Usually, morphological chirality of BCP* assemblies was closely associated with molecular and conformational chirality of the chiral block. Generally, chiral assemblies arose from molecular chirality of BCPs*, transferring up in the assembly process and dictated the chirality at a higher hierarchical level. In contrast, notwithstanding similar assemblies could be observed from achiral BCPs under certain conditions, both left-and right-handed ones were usually observed simultaneously without a preference. Moreover, unique feature of BCPs* to access to controllable chiral assemblies affords an opportunity to prepare advanced functional materials. Herein, we dedicated a review on assembly of BCPs* into chiral assemblies in bulk/films, selective solvents, and confined spaces. The chiral transfer process in these assembly scenarios were discussed and highlighted as a key contributor to morphological chirality. Functionalities and representative applications of BCP* assemblies were also described, followed by present challenges and future prospects of BCP* self-assembly.