In this paper, we make a study of the Owen value for cooperative fuzzy games with a coalition structure, which can be regarded as the generalization of crisp case. An axiomatic system of the Owen value for fuzzy games with a coalition structure is obtained by extending the corresponding characterizations given by Owen. The relationship between the Owen value and the fuzzy core of fuzzy games with a coalition structure is shown. In order to better understand the Owen value for fuzzy games with a coalition structure, we further research the Owen values for four special kinds of fuzzy games with a coalition structure, and give their explicit forms.