For multi-attribute large group decision-making problems with linguistic preference, a method based on the cloud clustering algorithm is proposed.Firstly, linguistic preferences are transformed to the cloud model, and a distance measure and similarity measure for cloud model are developed based on α-cut.Then, a cloud clustering algorithm is presented to classify decision makers into several clusters and then cluster weights are obtained.The cloud weighted arithmetic averaging operator is applied to aggregate collective group preferences and the final ranking results can be derived by computing the overall scores.Finally, an example is given to illustrate the practicality and effectiveness of the proposed method.