The impacts of rain on millimeter wave (mmW) terrestrial links, which are inevitably affected by ground-objects-induced multipath propagation, are presented based on the signal time series data measured at 35 GHz. We analyze the coupled influence mechanism of rain-induced and ground-objects-induced multipath propagation on mmW terrestrial links. It can be deduced that the rain-induced impacts on millimeter wave terrestrial links cannot be neglected. The results given in this paper are significant for developing 5G millimeter wave terrestrial mobile communication links.