The present invention relates to a shed system. According to the invention the shed system comprises a foundation (2), a pair of uprights (1) which each support on the foundation, a transverse connection between the pair of uprights and a roof construction (3) which supports on the uprights. A space between the foundation, the uprights and the transverse connection forms a first space and the space between the transverse connection, the uprights and the roof construction forms a second space. A window frame (13) is placed in the first or second space. The shed system also comprises an inner wall-outer wall pair placed in the other of the first or second space, wherein an air channel is formed between the inner wall and outer wall of the inner wall-outer wall pair and wherein the outer wall defines or comprises an air inlet suitable for drawing in air from outside. A heat exchanger (9) is placed in the air channel. The shed system further comprises an air guide which is connected to the transverse connection and which bounds the air channel on one side and forms a barrier to airflow parallel to the inner wall-outer wall pair, and defines or comprises an air outlet suitable for enabling an airflow directed into the shed.