This paper focus on building online trust in electronic commerce between partner that have never traded with each other before, the so-called first trade situation. For this, this paper proposes the model to build trust for conduction first trade transaction in e-trade(so-ca1led Trust Matrix Model : TMM). The TMM is based on the idea that for business to business electronic trade a balance has to be found between anonymous procedural trust, i.e. procedural solutions for trust building, and personal trust based on positive past experiences within for first trade situation, because of the lack of experience in these situations. The procedural trust solutions are related in the notion of institution-based trust, because the trust in the procedural solutions depends on the trust one has in the institutions that issued or enforces the procedure. The TMM can be used as a tool to analyze and develope trust-building services to help organizations conduct first -trade electronic trade.