A ceiling system including vertically oriented panel structures. The ceiling system may include a panel structure having first and second exposed major surfaces and a peripheral edge. A first mounting element may be coupled to the panel structure. The first mounting element may include a first portion embedded between the first and second exposed major surfaces of the panel structure and a second portion protruding from the peripheral edge of the panel structure. The second portion of the first mounting element may include a connection feature for attaching to an overhead support member. Each panel structure may have two of the mounting elements coupled thereto, and each of the mounting elements may be configured for attachment to a different overhead support member. A plurality of the panel structures may be vertically suspended from the overhead support members.