This paper considers multi-trust in the relationship of service outsourcing including calculus-based trust, competence-based trust and benevolence-based trust. It provides multi-trust dynamic evolution path model based on two dimension division research situation of the history of cooperation and cooperation period, and argues that competence-based trust plays the fundamental role in the whole cooperation; calculus-based trust and benevolence-based trust show the different evolution path in the first cooperation and non-first time cooperation.