Abstract: Metallic cloth seals backed by stiff high temperature-resistant shims depend from a bracket for engagement in a slot of a transition piece for sealing between the transition piece and a first-stage nozzle. The high pressure acting on the shim forces the metallic cloth into engagement with the sealing surface in the slot. The lower edge of the shim is bent about, and overlies, the edge of the metallic cloth in a direction toward the sealing surface of the slot to choke any flow from the high pressure region past the seal. Elongated spline seals are also inserted into opposed registering slots of adjacent transition pieces. The spline seals comprise metallic cloth folded onto itself backed by elongated stiff high temperature-resistant shims having lateral edges overlying the lateral edges of the cloth material. The overlying edges prevent leakage flow about the spline seals from the high pressure to the low pressure regions.