伯努利过程是一个由有限个或无限个的独立随机变量 X₁, X₂, X₃ ,..., 所组成的离散时间随机过程，其中 X₁, X₂, X₃ ,..., 满足如下条件：

换言之，伯努利过程是一列独立同分布的伯努利试验。每个X_i 的2个结果也被称为“成功”或“失败”。所以当用数字 0 或 1 来表示的时候，这个数字被称为第i个试验的成功次数。

与伯努利过程相关的随机变量有：

伯努利过程在随机进程分类上，属于discrete-time, discrete-value。

In probability and statistics, a Bernoulli process is a finite or infinite sequence of binary random variables, so it is a discrete-time stochastic process that takes only two values, canonically 0 and 1. The component Bernoulli variables X_i are identical and independent. Prosaically, a Bernoulli process is a repeated coin flipping, possibly with an unfair coin (but with consistent unfairness). Every variable X_i in the sequence is associated with a Bernoulli trial or experiment. They all have the same Bernoulli distribution. Much of what can be said about the Bernoulli process can also be generalized to more than two outcomes (such as the process for a six-sided dice); this generalization is known as the Bernoulli scheme.