We describe a platform for in vitro vascularization of human tissues such as organoids, spheroids, and explant material. The OrganoPlate® Graft consists of 64 tissue culture chips that allow for tissue grafting in an automation-compatible device. In each chip, two human endothelial vessels are formed against an extracellular matrix (ECM) gel. These vessels develop a vascular network under stimulation of a gradient of angiogenic factors. As an example, we show how liver spheroids can be grafted onto each vascular network, resulting in vascularized liver models suitable for screening.