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In this paper we study stochastic currents of Brownian motion $\xi(x)$,$x\in\mathbb{R}^{d}$, by using white noise analysis. For$x\in\mathbb{R}^{d}\backslash\{0\}$ and for $x=0\in\mathbb{R}$ we prove thatthe stochastic current $\xi(x)$ is a Hida distribution. Moreover for$x=0\in\mathbb{R}^{d}$ with $d>1$ we show that the stochastic current is not aHida distribution.

A White Noise Approach to Stochastic Currents of Brownian Motion