Parameter estimation is always the focus of constructing differential equations to simulate dynamic systems. In order to solve the unknown parameters of multi-factor uncertain differential equations, a class of updated multi-factor uncertain differential equations is proposed. According to its uncertainty distribution, the concept of residual is proposed and its specific expression is given. Based on the characteristic that the residuals obey the linear uncertainty distribution, moment estimation and generalized moment estimation are performed on the unknown parameters. Some numerical examples are given to demonstrate.