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The present paper describes a numerical model to study the seismic response of a soft or loose soil deposit stiffened with rigid inclusions as an alternative foundation solution. Modelling was performed using a 2D dynamic finite element method in which the relevant construction stages of the rigid inclusions and different types of arrays were studied. According to the numerical results, the main effects of rigid inclusions on the response of soft deposits are small changes in spectral ordinates. These changes are more significant for decreasing inclusion spacing at soil periods larger than 1.5 s, or increasing spacing at periods less than 1.5 s. These effects are more apparent at the perimeter of the stiffened zone than at its core. Support conditions at the tips and heads of the inclusions have a major effect on the dynamic response. Spectral ordinates increased most notably in the short period range when the inclusion tips were socketed in the lower stiff material, being only the second vibration mode affected.