在数学中，概周期函数（或殆周期函数）是一类有近似于周期性质的函数，是连续周期函数的推广。不同的周期函数由于周期不尽相同，其和、差或乘积不一定再是周期函数。概周期函数尽管未必有严格的周期性，但可拥有一些比周期函数更好的性质。这一概念首先于1925年被丹麦数学家哈那德·玻尔引进，后来赫曼·外尔、贝西科维奇等人也有研究和推广。贝西科维奇因概周期函数方面的贡献获得了1931年剑桥大学的亚当斯奖。

In mathematics, an almost periodic function is, loosely speaking, a function of a real number that is periodic to within any desired level of accuracy, given suitably long, well-distributed "almost-periods". The concept was first studied by Harald Bohr and later generalized by Vyacheslav Stepanov, Hermann Weyl and Abram Samoilovitch Besicovitch, amongst others. There is also a notion of almost periodic functions on locally compact abelian groups, first studied by John von Neumann.