In this paper, we first establish the existence of uniform random attractor for 2D stochastic Navier-Stokes equation in H with deterministic non-autonomous external force being normal in $L_{loc}^2(\mathbb{R};V^{\prime })$, which is the measurable minimal compact set and uniformly attracts bounded random set in H in the sense of pullback. We also show that uniform random attractor with respect to the deterministic non-autonomous functions belonging to some symbol space coincides with uniform random attractor with respect to the initial time. Then we show that the uniform random attractor for the equation under consideration has regularity property in V when deterministic non-autonomous external force being normal in $L_{loc}^2(\mathbb{R};H)$.

在本文中，我们首先确定H中的二维随机Navier-Stokes方程的均匀随机吸引子的存在性，其中确定性非自治外力为H${\mathrm{大号}}_{升ØC}^2（\mathbb{[R};V^{\prime }）$，它是可测量的最小紧集，并且在回拉的意义上均匀地吸引了H中的有界随机集。我们还表明，相对于属于某些符号空间的确定性非自治函数，统一随机吸引子与相对于初始时间的均匀随机吸引子一致。然后我们表明，当确定的非自治外力为正态时，所考虑方程的均匀随机吸引子在V中具有规则性。${\mathrm{大号}}_{升ØC}^2（\mathbb{[R};H）$。