The lateral response of suction caissons used as anchors for floating structures in the offshore Niger Delta has been investigated using the “Lumped Parameter Systems” model. In this process, the dynamic stability (horizontal vibration) of suction caissons used to anchor floating production facilities located deep offshore of the Niger Delta has been examined. Geotechnical conditions prevalent at Niger Delta Deep offshore have been used to determine dynamic soil parameters needed for analyses. Also, dynamic wave properties of the offshore environment which correspond to 100 years return period have served as inputs into the analyses. Results of analyses show that for a given wave condition, an increase in the mass of caisson whose height to diameter ratio is 2:1 causes a decrease in the horizontal amplitudes of vibration of the caissons. Results also reveal that continuous increase in the mass of caisson beyond certain limits does not significantly reduce vibrating amplitude. This is important because it provides information on the limiting mass and hence the size of caisson required in any particular situation. A most striking observation made is the fact that for a given wave steepness, several smaller units of suction caissons can be used rather than a single massive unit. Cases considered show reduction in amplitude by 67%, 41%, 32% and 23% respectively for increase in the number of caissons to 2, 4, 6, and 10.