Our main critique is based on L. Boffs argument that the Holy Trinity should inspire and criticise human society. This research is a critique of this argument which is at the centre of Boffs Trinitarian Social Model. Can Boffs argument be considered as a mere hypothesis or rather a fundamental axiom, i.e. a verified and accepted argument? The original contribution of this work is not only in the critique of the Trinitarian Social Model (TSM) of Leonardo Boff, using the Small Christian Communities (SCCs) as a case study, but also in the proposition of the Social Trinitarian Model (STM) for Tanzanian society. This Social Trinitarian Model is based on SCCs in relationship to an inclusive Tanzanian spirit of unity and hope. It also includes the human values of syn-bios, syn-pathos and syn-hodos. These human values are related to the Trinitarian life, koinonia and perichoresis. In fact, in the Social Trinitarian Model, SCCs are like a foretaste (prolepsis) of the Kingdom of God. Though this Social Trinitarian Model is based on the SCCs of Tabora in Tanzania, it is not exclusively for Tanzanian society. It can inspire other African societies and other parts of the world.