The multi-beam antenna systems have become increasingly important in modern communica-tions.In this papcr,the author proposes according to the properties of array radiation space the use ofthe LMS’ adaptive techniques in multi-beam antenna systems.This proposal includes the radiationpattern of three-dimensional adaptive arrays,the evolution of the radiation pattern of adaptive arrays,the signal-to-interference plus noise ratio of the array system output,and the structure of the adaptivemulti-beam networks.These will be discussed in the order mentioned.