A neutron star core superrnuid rotates at a di erent rate to that of the crust, while spinningrndown at the same steady-state rate as the rest of the star, because of the assumed pinningrnbetween the superrnuid vortices and the inner crust. We nd that the magnitude of thisrnrotational lag changes with time and also depends on the distance from the rotation axis;rnthe core superrnuid supports an evolving pattern of di erential rotation. We predictedrnchange of the lag might occur as discrete events which could result in a sudden rise of thernspin frequency of the crust of a neutron star, as is observed in glitches in radio pulsars.rnGlitches are believed to have been caused by break aways of pinned vortices.This newrnpossibility for the triggering cause of glitches in radio pulsars is further supported by anrnestimate of the total predicted excess angular momentum reservoir of the core superrnuid.rnThe model seems to o er resolutions for some other aspects of the observational data onrnglitches. The goal of this project is to show the tidal force e ect on the di erential motionrnof the crust with respect to the core of the neutron star could lead to the reduction ofrnglitch frequencies and eventually produced gravitational locking between the core and therncrust of a neutron star