Late-life depression（LLD）is a common senile mental disorder. Functional magnetic resonance imaging （fMRI） brain network connection analysis can help to clarify the brain regions and functions related to LLD. A number of studies have shown that there are three prominent brain functional networks in LLD： executive control network， default mode network and salience/emotional processing network. This paper summarizes the above three prominent characteristics of brain functional network imaging in LLD and the progress in predicting the therapeutic effect of depression， in order to summarize the existing research and provide reference for the future research direction.