A wide range of tissues within the body share a common tubular geometry. This chapter will focus on the approaches and challenges to engineer tubular tissues which contain a central lumen. These tissues (e.g., intestine, trachea) share the basic function of allowing flow, or convective transport of some material through the tissue. A variety of materials are transported through the central lumen of these tissues, including solids, liquids, and gases. A number of forces drive transport, including pressure gradients and smooth muscle contraction. The tissue may be relatively rigid (e.g., trachea), or capable of large strain (e.g., intestine). In all cases, these tissues are comprised of multiple cell types with a defined organization that is critical to the tissue’s function. This chapter will not review engineered tubular tissues which do not contain a central lumen (e.g., nerves, ligaments, bone), or attempts to use tubular devices to transplant cells that do not normally exist in a tubular geometry (e.g., hollow fiber encapsulation of hepatocytes).