The sea surface temperature inter-hemispheric dipole (SSTID) is an important mode of global sea surface temperature (SST) anomalies, characterized by an anti-phase variation of SST between the Northern and Southern Hemispheres. In this paper, we investigate the influence of SSTID during the period of July-November on decadal variability of July-November average tropical cyclone (TC) intensity in the Northern Hemisphere (NH). The observation analysis shows that July-November SSTID leads the decadal variation component of NH July-November average TC intensity by 8-11 years, with the greatest significant positive correlation at the lead time of 9 years. Further analysis with the coupled oceanic-atmospheric bridge theory shows that the ocean of the NH TC active regions, characterized by SST, acts as an ocean bridge to store the accumulated signal of SSTID leading about 9 years. And the atmosphere over the NH TC active regions could convey SSTID impact onto the decadal NH July-November average TC intensity as an atmospheric bridge, represented by TC genesis potential index. The synthetical impact of vertical wind shear and relative humidity at 600 hPa over the NH TC active regions plays a key role. A July-November SSTID-based linear model for predicting decadal variation of NH July-November average TC intensity is constructed with good hindcast performance. The NH July-November average TC intensity during the period of 2021-2029 is predicted to mainly keep intensifying and even reach a record-breaking intensity in the late 2020s.