Platforms are relevant meta-organizations in today's economy, and they are part of our social life and intermediate interactions and promote innovation. However, platforms need some level of governance to promote these interactions and foster the development of complementarities among participants. We argue that a governance model should include four central dimensions: the distribution of the value generated, the process participants decide about these distributions, the rules of interaction, and access to information to assure alignment and improve complementarity among platform members. We call these dimensions "principles," distributive, procedural, interactional, and informational justice. Justice or fairness goes beyond giving each person what they deserve. It includes involving participants in the process, interacting with them, and giving them access to information, all with fairness. Our justice-based governance could foster platform performance, increase network-effect, improve complementarities, and rise transaction activities.