The process for the automated growing of a group of plants in an artificial medium which is solid, liquid or a mixture thereof, comprises sowing collectively seeds or planting young plants directly on a region of the artificial medium, with a small spacing therebetween, and displacing said region progressively as a function of the growth of the plants and increasing the area of said region in the longitudinal and transverse directions so that the spacing between the plants increases in these two directions in proportion to the development of the plants until they reach maturity.