This invention relates to a combustion chamber arrangement for a gas turbine, with a number of individual combustion chambers which open into an annular gap, leading to a turbine chamber, whereby burners are arranged before the individual combustion chambers, connected to the individual combustion chambers through a turbine housing. According to the invention, said combustion chamber arrangement may be further developed, such that the cooling efficiency of the individual combustion chambers may be significantly improved, with an embodiment of simple construction, whereby at least one collar, arranged on one side of the turbine housing, facing the turbine chamber, running radially in the direction of the turbine chamber, at least partly surrounds a section of at least one individual combustion chamber whilst leaving a gap space.