Abstract: The present invention is directed to a process and apparatus wherein municipal refuse, and many other types of solid waste, are disposed of in a landfill repository that maintains them in a dry state indefinitely. This eliminates most environmental and many cost problems. The principal design feature of this landfill is its cellular internal structure, which has rows of contiguous, rectangular water- and gas-tight cells that are built on top of one another to form a high, multi-layered structure. These cells are simultaneously constructed and filled with solid waste in a series of short, incremental wall berm construction and filling steps on a one-cell-at-a-time basis in the top layer of the landfill.