Landfills play an essential role in contemporary waste management systems, acting as the primary disposal site for a large share of waste produced by households, industries, and other sources. However, the environmental and health impacts associated with landfills have become a growing concern, particularly due to the potential for groundwater contamination and the release of harmful emissions. Landfilling, as a waste management method, has been extensively studied, and the evidence suggests that it can have significant implications for public health. Therefore, a thorough numerical analysis of landfill operations and their environmental impacts is essential to inform policy decisions and improve waste management practices. This research paper aims to conduct a comprehensive numerical analysis of landfills, exploring various aspects such as leachate generation and the effectiveness of landfill management strategies. In recent days, urbanization is rapidly increasing, and there is a prior need to design the urban landfills economically and efficiently. In the present scenario, the amount of wet waste has increased, and suitable land for landfills has decreased significantly. Many of these disposal sites have been inadequately examined, assessed, and monitored, resulting in unanticipated behavior under applied loads. Remediation of older sites that have released toxic leachate into the soil and groundwater and experienced gas leakage issues has been found to be extremely expensive. In this research paper, the numerical model of a landfill supported by a homogenous local soil has been developed using the finite element method. The fundamental and theoretical considerations are accounted for to develop numerical models for the municipal solid waste in the landfills. The landfills are analyzed for the different engineering properties of the depot waste. The response of the supporting soil is studied for the different local soil conditions. The study has concluded that the response varies with the supporting soil strata and the type of degradable waste.