  We study the upper and the lower densities of complete and minimal Gabor
Gaussians systems. In contrast to the classical lattice case when they are both
equal to $1$, we prove that the lower density may reach $0$ while the upper
density may vary at least from $\frac{1}{\pi}$ to $e$. In the case when the
upper density exceeds $1$, we establish a sharp inequality relating the upper
and the lower densities.
