A roof comprises a solar radiation heat recovery device that is invisible from the outside. The roof is made up of supports receiving a heat transfer network which has a longitudinal groove designed to receive the male profile of the protrusion of the heat recovery modules. The supports comprise arms which exert a lateral pressure on the flexible network. The resilient deformation of the network permits the sliding thereof between the arms to the clamped position. The groove of the network closes around the protrusion, immobilizing the module and holding the assembly in the support fixed to the roof frame. The roof is particularly intended to recover solar radiation heat in a way that is aesthetically pleasing, economical, simple and easy to install.