In 1952, British mathematician Alan Turing (1912–1954) published the reaction-diffusion model, in which two interacting species of molecules can generate a complex pattern in the course of plant or animal development if the substances (termed morphogens) differ in their diffusion rate. Turing’s theory got concrete biochemical and molecular support during recent 15 years. Several pairs of interacting and diffusing chemicals have been suggested for various morphogenetic processes in multicellular animals. Therefore, the principal points of Turing’s theory have been confirmed, though there is no universal pair of interacting morphogens in animal development. These recent data are briefly considered in the present essay and an attempt is made to consider current applications of the Turing’s model to the development of vascular plants. In the latter case, however, the situation seems today to be less clear than in the case of the metazoan morphogenesis.