Disclosed is a wall assembly including preformed building blocks and a trellis type support member for maintaining the building blocks in place in the desired orientation. The wall assembly further includes at least one support for holding the trellis upright. The individual blocks are connected to the supporting trellis for added stability. Although not every block in the wall need be connected to the trellis support member in order to achieve the desired added stability, it is preferred to connect each block in the wall to the trellis. Connectors are provided for connecting the blocks to the trellis. Each block preferably is connected to the trellis by at least one connector, most preferably by a pair of connectors. To accommodate relative movement or shifting of the blocks during installation and in situ, the connectors are preferably movably connected to the trellis or the block, or both.