A ceiling system is disclosed in which two type of ceiling panels are mounted in a support grid. In one embodiment, the ceiling system may comprise: a support grid defining a plurality of grid openings; a plurality of grid-concealment ceiling panels mounted to the support grid and disposed in the grid openings, each of the grid-concealment ceiling panels comprising peripheral edge portions which extend beneath and at least partially conceal the support grid; and one or more tegular ceiling panels mounted to the support grid and disposed within the grid openings, wherein the one or more tegular ceiling panels do not extend beneath the support grid.