中文摘要：

Witt代数是一类非常重要的无限维李代数,它在李代数的各个分支都有着广泛的应用,和Witt代数相关的无限维李代数的结构、表示等问题是目前李代数研究的一个主要方向。研究一类非有限分次的广义Witt型代数的导子,并得到了其导子代数Der W的具体形式：Der W=ad WHomZ（Γ,C）。

英文摘要：

Witt algebra is an important infinite dimensional Lie algebra,and it has been more widely used in every branch of Lie algebra. So far the structures and representations of some infinite dimensional Lie algebras related to Witt algebra are a significant direction of Lie algebra. The derivation algebra of a class of not-finitely graded Lie algebras related to generalized Witt type algebras is studied,and the concrete form of its derivation algebra,Der W,is given by Der W = ad WHomz（ Γ,C）.