Compositional Generative Flows (CGFlow) is a framework introduced to generate objects in compositional steps while modeling continuous states.It is an extension of flow matching interpolation process and utilizes the theoretical foundations of generative flow networks (GFlowNets).CGFlow is applied in synthesizable drug design to jointly design the molecule's synthetic pathway with its 3D binding pose.The method achieves state-of-the-art binding affinity and improved sampling efficiency compared to a 2D synthesis-based baseline.