Abstract
In this paper, we study a class of spacelike rotational surfaces in the Minkowski 4-space <TEX>$\mathbb{E}^4_1$</TEX> with meridian curves lying in 2-dimensional spacelike planes and having pointwise 1-type Gauss map. We obtain all such surfaces with pointwise 1-type Gauss map of the first kind. Then we prove that the spacelike rotational surface with flat normal bundle and pointwise 1-type Gauss map of the second kind is an open part of a spacelike 2-plane in <TEX>$\mathbb{E}^4_1$</TEX>.
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