Abstract: To study the Green rings of finite dimensional Δ-associative algebras, firstly, two classes of finite dimensional Δ-associative algebras were introduced by expanding eight dimension semisimple Hopf algebras. Then by generalizing the definition of the Green rings of the Hopf algebras to the Δ-associative algebras, the Green rings of the two classes of finite dimensional Δ-associative algebras and the structure were determined by the generators and relations.