An ornamental structure for a cremains container includes a modeling unit (10) and at least one landscaping unit (20) connected with the modeling unit. The modeling unit includes a front plate (11), two side plates (12) and a top cap (13). The modeling unit has an interior defining a receiving space (14) to receive a cremains container (30). The at least one landscaping unit includes a main body (21) and a plurality of decorative members (22) mounted on the main body. Thus, the ornamental structure partially covers and decorates the cremains container. (FIG. 2)