This notion was introduced by Doi and Takeuchi last year. [See, Contemporary Mathematics 267, 2000, pp67-97.] They are both Frobenius algebras and Frobenius coalgebras and satisfy some compatibility conditions. They generalize finite dimensional Hopf algebras. Many results (e.g. Radford S^4 formula) can be generalized to biFrobenius algebras. In my talk I am going to explain some basic properties and to give some new results.