Device for compressing and drying gas includes a compressor and a dryer using a drying agent for drying gas connected thereto. The compressor includes two or more compressor elements with an inlet and an outlet which are connected together in series to form a first low-pressure stage. One or more subsequent high-pressure stages are each connected with their inlet to the outlet of a previous compressor element via a pressure pipe and an outlet pipe in which an after cooler is incorporated. The dryer has a drying section and a regeneration section. The drying section is filled with a drying agent for drying the gas and has an inlet connected to the outlet pipe of the compressor device, and an outlet that supplies compressed and dried gas. The regeneration section dries moist drying agent by a regeneration gas which is guided there via an inlet and an outlet with a regeneration pipe connected to the inlet. At least part of the regeneration gas is heated by a gas-gas heat exchanger with a primary part incorporated in a regeneration pipe and a secondary part that is fed by a pressure side of the compressor element. The gas-gas heat exchanger is provided with its secondary part in the pressure pipe extending between the low-pressure stage and the high-pressure stage.