Development in plants relies largely on the activity of meristems, which are regions at the apices of shoots and roots that are capable of prolonged organogenesis. Developmental patterning and morphogenesis in plants is principally determined by post-embryonic regulation of the shoot, root and power meristems, which enable plants to modify their form rapidly in response to different environmental conditions. Because meristems are continually generating new organs and tissues, they provide excellent model systems in which to study the processes of cell division, differentiation and organ formation. Here, we describe recent studies and several classic experiments that are helping to uncover the mechanisms controlling meristem development and the role of cell division in morphogenesis and patterning in plants.