We define the notion of affine Anosov representations of word hyperbolic groups into the affine group ${\mathsf{\text{SO}}}^0(�+1,�)⋉{\mathbb{�}}^{2�+1}$⁠. We then show that a representation $�$ of a word hyperbolic group is affine Anosov if and only if its linear part ${\mathtt{�}}_{�}$ is Anosov in ${\mathsf{\text{SO}}}^0(�+1,�)$ with respect to the stabilizer of a maximal isotropic plane and $�(\mathrm{\Gamma })$ acts properly on ${\mathbb{�}}^{2�+1}$⁠.We define the notion of affine Anosov representations of word hyperbolic groups into the affine group ${\mathsf{\text{SO}}}^0(�+1,�)⋉{\mathbb{�}}^{2�+1}$⁠. We then show that a representation $�$ of a word hyperbolic group is affine Anosov if and only if its linear part ${\mathtt{�}}_{�}$ is Anosov in ${\mathsf{\text{SO}}}^0(�+1,�)$ with respect to the stabilizer of a maximal isotropic plane and $�(\mathrm{\Gamma })$ acts properly on ${\mathbb{�}}^{2�+1}$⁠.