The present invention relates to a support structure for the off-land growing of plants, for example strawberry or tomato plants. This support structure (1) comprises longitudinal profile sections (2) which each comprise, on the one hand, two opposite end and, on the other hand, an upper surface (261) designed to accept a growth medium substrate (4) and for the circulation of an irrigation liquid (potentially a percolate of a liquid with which the said growth medium substrate (4) is irrigated). According to the invention, the longitudinal profile sections (2) each comprise at least one monobloc longitudinal duct (25) which is designed for the circulation of a fluid along its length and which opens at the ends (24) of the said longitudinal profile section (2) for connection to a fluid circuit (5), namely for example an irrigation liquid circuit and/or a heat-transfer fluid circuit and/or a circuit for a gas rich in CO2.