In recent years, normal families with sharing values has been becoming an activated subject, much work was made on this respect by using mainly the Navelinna’s value distribution theory and the theory of normal families of mermorphic functions. A series of normality criteria are attained, such as the normality criterion concerning sharing sets, sharing a value, sharing functions. In this paper, we do a further study in normal families of mermorphic functions on sharing values , which is an important subject in complex analysis. we get the following two theorems: Let F be a family of meromorphic functions in a area D, a(≠0) and b(≠0)are two limited complex numbers, if f∈F, f ′f=a f=b, then F is normal . Let F be a family of meromorphic functions in a area D, a(≠0) and b(≠0) are two limited complex numbers, if f∈F, f (k)f=a f=b and f≠0, then is normal.