The current development toward quantum attack has shocked our confidence on classical digital signature schemes. As one of the mainstreams of post quantum cryptography primitives, hash-based signature has attracted more and more concern in both cryptographic research and application in recent years. The goal of this paper is to present, classify and discuss different solutions for hash-based signature. Firstly, this paper discusses the research progress in the component of hash-based signature, i.e., one-time signature and few-time signature; then classifies the tree-based public key authentication schemes of hash-based signature into limited number and stateful schemes, unlimited number and stateful schemes and unlimited number and stateless schemes. The above discussion aims to analyze the overall design idea of different categories of hash-based signatures, as well as the construction, security reduction and performance efficiency of specific schemes. Finally, the perspectives and possible development directions of hash-based signature are briefly discussed.