Recently, a novel technique was proposed directly integrated resting-state fMRI and DTI to construct a local spatio-temporal correlation tensor from resting state fMRI data. In individual level, the functional correlation tensor can be used to tract white matter fibers. However, there is no knowledge of group level property of functional correlation tensor. In the present study, group averaged tensorial properties (e.g. FA and trace) of functional correlation tensor were investigated. It is shown that the group averaged trace map of functional tensor can reveal default mode network. And our results are consistent across different datasets.