Today, the security of the modern world is undoubtedly dependent on the cryptographic primitives built into the various protocols used for secure communication. Let us mention here the most important, like block ciphers, stream ciphers, digital signatures and encryption schemes, hash functions, pseudo random number generators, ... The design of these, and many other crypto primitives, uses dierent concepts from number theory, group and nite eld theory, Boolean algebras, etc. In this survey article we will present how quasigroups can be used for construction of various crypto primitives. We will discuss especially what type of quasigroups are used and how they can be constructed. Some open research problem will be mentioned as well.