Abstract: Algebroid functions is a kind of multiple valued analytic function, meromorphic function is a special case of algebroid functions, How to extend some important properties of meromorphic functions to algebroid functions is one of the most important research topics. By using Nevanlinna value distribution theory of algebroid functions, the uniqueness problems of algebroid functions are studied. Using the addition of algebroid functions, two uniqueness theorems with multiple values are extended from meromorphic functions to algebroid functions.So the uniqueness theorem of algebroid functions is extended.