According to the diverse, dynamic, multi-restrictive and multi-level characteristics of design requirements and design services under the environment of cloud manufacturing, we proposed a new kind of data structure definition for design requirements and design services, which contains attribute sets, relationship sets and operation sets. Based on this, we established a design requirement and design service matching model with input, decomposition, combination and output. The model matching processes include atom matching, extension matching and product matching. To solve the quantitative problems of input, decomposition, combination and output in matching processes, we adopted semantic similarity and circulating recursive structure to design a matching algorithm to realize intelligent matching. We verified the effectiveness and feasibility of the proposed model and the key implementation technologies through experiments.