In view of the relationship between design systems supporting ordinal design and enterprise design capability, the design capability measurement index and its algorithm are innovatively proposed in combination with the design resource type and integration technology maturity method. The design capability measurement index consists of four indexes: design process integrity rate, design tool integrity rate, design criteria integrity rate and design data utilization rate. The design process integrity rate is obtained by the proportion of design process to the total number of design processes currently collated. The design tool integrity rate is obtained by the proportion of design tools to the total number of tools required for process task nodes collated in the current year. The design criteria integrity rate is obtained by the proportion of design criteria followed in the design to the total number of criteria required for design activities collated in the current year. The design data utilization rate is expressed by unstructured data utilization rate. The criteria weight of design capability measurement index is obtained by using the grey correlation and fuzzy comprehensive evaluation improvement model. Considering the influence of delay factors on the interaction between the design system and design capability, a design system and design capability function model considering delay is constructed on the basis of logistic equation, which provides an effective method and basis for enterprise design system application decision-making and design capability improvement.