Abstract: The optimal design of bolt support scheme is one of the important guarantees for the safety of tunnel construction and operation.Firstly,with the assumption of non-axisymmetric stress field,based on the homogenization theory of bolt and the semi-inverse method of elasticity,the analytical stress solution for a bolted circular tunnel at great depth under non-axisymmetric stress field was derived.Then,taking the minimum virtual supporting force as the criterion and the deformation of the excavation boundary as the constraint,the bolt optimized objective function was constructed; Finally,the bolt support schemes were compared and optimized by two methods.It is shown that:(1) the construction of optimized objective function is an important part in the design of bolt support schemes.Different criterion for objective functions construction will receive different optimal schemes,and other engineering requirements can be added as constraints,which affects the selection of optimal schemes; (2) with the sensitivity analysis of bolt parameters,it can be known that the biggest factor affecting the support force is the bolt pitch,followed by the bolt diameter,and then the bolt length.In the bolt design of practical engineering,in order to decrease the cost of bolting engineering under the requirement of safety,the measure should be given priority is to shorten the bolt length.It is suggested to combine analytical method with numerical simulation to improve the optimization efficiency in the practical engineering,and it is expected that this study can provide reference for the optimal design of bolt support parameters in similar tunnel engineering.