Disruption of the blood-brain barrier (BBB) leads to various neurovascular diseases. Development of therapeutics required to cross the BBB is difficult due to a lack of relevant in vitro models. We have developed a three-dimensional (3D) microfluidic BBB chip (BBBC) to study cell interactions in the brain microvasculature and to test drug candidates of neurovascular diseases. We isolated primary brain microvascular endothelial cells (ECs), pericytes, and astrocytes from neonatal rats and cocultured them in the BBBC. To mimic the 3D in vivo BBB structure, we used type I collagen hydrogel to pattern the microchannel via viscous finger patterning technique to create a matrix. ECs, astrocytes, and pericytes were cocultured in the collagen matrix. The fluid flow in the BBBC was controlled by a pump-free strategy utilizing gravity as driving force and resistance in a paper-based flow resistor. The primary cells cultured in the BBBC expressed high levels of junction proteins and formed a tight endothelial barrier layer. Addition of tumor necrosis factor alpha to recapitulate neuroinflammatory conditions compromised the BBB functionality. To mitigate the neuroinflammatory stimulus, we treated the BBB model with the glucocorticoid drug dexamethasone, and observed protection of the BBB. This BBBC represents a new simple, cost-effective, and scalable in vitro platform for validating therapeutic drugs targeting neuroinflammatory conditions.