在数学中，绝对连续是一个光滑性质，比连续和一致连续都要严格。函数的绝对连续和测度的绝对连续都有定义。

设(X, d)为一个度量空间，并设I为实直线R上的区间。函数f : I → X在I上绝对连续，如果对于每一个正数，都存在一个正数，使得当I的两两不交的子区间[x_k, y_k]的（有限或无限）串行满足

时，就有：

所有从I到X的绝对连续函数的集合记为AC(I; X)。

一个进一步的推广是曲线f : I → X的空间AC(I; X)，使得：

对于L空间L(I; R)中的某个m。

In calculus, absolute continuity is a smoothness property of functions that is stronger than continuity and uniform continuity. The notion of absolute continuity allows one to obtain generalizations of the relationship between the two central operations of calculus, differentiation and integration, expressed by the fundamental theorem of calculus in the framework of Riemann integration. Such generalizations are often formulated in terms of Lebesgue integration. For real-valued functions on the real line two interrelated notions appear: absolute continuity of functions and absolute continuity of measures. These two notions are generalized in different directions. The usual derivative of a function is related to the Radon–Nikodym derivative, or density, of a measure.