  Many realistic systems such as infrastructures are characterized by spatial
structure and anisotropic alignment. Here we propose and study a model for
dealing with such characteristics by introducing a parameter that controls the
strength of the anisotropy in the spatial network. This parameter is added to
an existing isotropic model used to describe networks under spatial
constraints, thus generalizing the spatial model to take into account both
spatial and anisotropic features. We study the resilience of such networks by
using a percolation process and find that anisotropy has a negative impact on a
network's robustness. In addition, our results suggest that the anisotropy in
this model does not affect the critical exponent of the correlation length,
$\nu$, which remains the same as the known $\nu$ in 2D isotropic lattices.
