A simple model of chain containing Dirac’s delta-like potentials is used to calculate the density of states in systems with structural disorder. The crystal case of equally spaced scattering centers may be seen as a reference case suitable both for numerical calculations as well as analytical ones. The structural disorder means distortion of ideal lattice seen as fluctuation of distances between adjacent sites. Such disorder is sometimes referred to as amorphous and may lead to smearing off the band boundaries resulting in a tail-like density of states.