A clamp assembly has a clamp with a clamp band and a clamping device for clamping the clamping band and has a heat protection device with a housing and at least one insulating layer. The housing has a respective wall at each axial end face, the wall being divided into sections and protruding radially inwards, and the at least one insulating layer can be positioned between the walls of the housing. The clamp can be surrounded at least in some regions by the housing and/or the at least one insulating layer of the heat protection device, and the heat protection device is designed to be connectable to the clamp.