The class of PS bent functions is one interesting class of bent functions

they have good algebraic structure and have many applications in cryptography.They are also useful for studying the general structure of bent functions.Unfortunately

the construction of PS bent functions is theoretic

it is still an open problem to characterize the algebraic normal forms of PS bent functions.In this paper we study the properties of such functions

and one method to construct PS bent functions and the corresponding algebraic normal forms are provided.