Summary: We classify the connected flat homogeneous spaces \(M\) of metric signature \((n,2)\) with translationally isotropic associated domain. \(U \subset \mathbb{R}^ n_ s\), where \(\mathbb{R}^ n_ s\) denotes \(\mathbb{R}^ n\) with the usual flat metric is translationally isotropic if the set of all translations which leave \(U\) invariant contains its perpendicular space. If \(U\) is the image of the universal cover of \(M\) under the development map then \(U\) is called the associated domain of \(M\).