The delivery of oxygen and nutrients to the growing fetus in the human placenta is crucial for any successful pregnancy. Major pregnancy complications such as growth restriction and pre-eclampsia have been linked to placental insufficiency. This study attempts to use a comprehensive multi-modal functional MRI approach to visualize and quantify the complexity of the underlying structural and functional processes and monitor their evolution over gestation. The required placenta data can be acquired in the clinically feasible time of ~12 min and requires no contrast agent. The presented acquisition is completed by a dedicated multi-modal pipeline and a set of quantitative features.