The multi-sensor fusion estimation problem is investigated in the paper for a class of uncertain systems with stochastic sensor gain degradation.Firstly,the model's uncertainty is described by stochastic parameter perturbations considered in the system matrix.The sensor gain degradation is described by a random variable whose expectation and variance are assumed to be known.Then,a kind of local unbiased estimator is proposed,and an optimization problem is established by taking the matrix weighted fusion estimation error as the cost function,and the local filter gains as the decision variables.Considering that obtaining the closed form of the optimal consensus filter gains is a challenging problem,a set of sub-optimal local filter gains are computed based on minimizing an upper bound of the cost function.Finally,a simulation example is given to confirm the effectiveness of the proposed approach.