Described are tissue graft constructs that include an extracellular matrix material in combination with added endothelial cells and at least one additional added exogenous cellular population. The additional exogenous cellular population desirably includes muscle cells, such as smooth muscle cells, fibroblasts, or a combination thereof. Tubular constructs seeded with such cell combinations can be beneficially used as vascular grafts. Also described are methods for preparing and using such grafts.