Structures are commonly founded on layered soil deposits. Many instances are there where the soil profile consisted of two-layer soil deposit, underlain by a rock stratum. So in this thesis, finite two-layered soil profile overlying a stiff soil deposit is considered. Top layer of the soil is loose sand and bottom layer of the soil is sandy gravel considered and vice versa. Elastic settlements due to a flexible and rigid circular load on a two-layer soil system without reinforcement and with incorporating reinforcement overlying a rock stratum or a stiff soil deposit are estimated by design charts and tables. As soil behavior is not elastic in nature, so approximating the soil behavior in general by elasto-plastic behavior, it is obtained by Mohr-Coulomb model in Plaxis 2D. Plastic settlements due to a flexible and rigid circular load on a two-layer soil system overlying a rock stratum or a stiff soil deposit are estimated by design charts and tables