This paper proposes a multi-attribute automatic optimization method for lens system design. The method is based on the exploitation of the multi-attribute property of lens systems. Quality attribute and sensitivity attribute of lens system are our main concerns in the proposed method. The quality attribute is considered to characterize the optical performance and the physical constraints of lens system. The sensitivity attribute is perceived as the description of feasibility and practicality in lens manufacturing. Modified coordinate-wise algorithm is employed to perform the optimization of imaging performance as well as specific constraints. The sensitivity attribute is processed to incorporate manufacturing sensitivity into the metrics to evaluate the system more comprehensively by means of minimizing incident and refracted ray angles on optical surfaces. As a result, compromise solutions between quality attribute and sensitivity attribute are obtained. Experiments on two typical lens designs demonstrate the effectiveness of the proposed method.