This document describes a microfluidic bioreactor system developed to provide controlled spatial and temporal concentration gradients of multiple molecular factors to 3D cultures of human pluripotent stem cells. The bioreactor contains rows of microwells connected by microchannels that generate stable concentration gradients when different factors are flowed through the lateral channels. Human embryonic and induced pluripotent stem cells were cultured as embryoid bodies in the bioreactor and exposed to gradients of mesoderm-inducing morphogens. Gene expression analysis showed the system could evaluate the initiation of mesodermal induction in a controlled manner. The bioreactor aims to provide a more in vivo-like model for studying stem cell development and differentiation.