Abstract: An above-ground interment arrangement for cremated remains which are contained in respective remains vessels. The arrangement is provided with a foundation which rests upon the ground of the cemetery, or other location. At least one further portion of the arrangement, which may be part of a pre-existing monument, is provided with a repository chamber adapted for receiving a remains vessel. In some embodiments, the portion of the arrangement which rests upon the foundation may be formed of several levels of repository chambers to form a stack which may accommodate a multiplicity of remains vessels. In further embodiments, two such stacks may be arranged side by side to double the capacity of the interment arrangement, and render it suitable for interring the victims of battles or catastrophes. Each such repository chamber is provided with a respective cover which may be affixed to the monument by any of several known means.