[PROBLEMS] To find out a specific rare sugar having effects of inhibiting the proliferation of vascular endothelial cells and lumen formation and utilize these effects. To provide this rare sugar as a preventive/remedy for diseases with angiogenesis, a cosmetic or a functional food. [MEANS FOR SOLVING PROBLEMS] A method of controlling the proliferation of vascular endothelial cells characterized by utilizing the vascular endothelial cell proliferation-controlling effect of D-mannose, D-allose, 2-deoxy-D-glucose, 3-deoxy-D-glucose, L-sorbose, 2-deoxy-D-ribose and/or 2-deoxy-L-ribose. A method of inhibiting lumen formation of vascular endothelial cells characterized by utilizing the vascular endothelial cell lumen formation-inhibiting effect of D-allose, D-altrose, D-gulose, D-talose, L-allose, 2-deoxy-D-glucose, 3-deoxy-D-glucose, D-ribose, L-ribose, 2-deoxy-D-ribose and/or 2-deoxy-L-ribose.