We theoretically investigate the effect of magnetic field on the pseudogap
phenomena in High-T, cuprates. The obtained results well explain the experi
mental results including their doping dependences. In our previous paper [J
. Phys. Sec. Jpn. 68(1999) 2999]; we have shown that the pseudogap phenomen
a observed in High-T, cuprates are naturally understood as a precursor of t
he strong coupling superconductivity. On the other hand; there is an interp
retation for the recent high field NMR measurements to be an evidence denyi
ng the pairing scenarios for the pseudogap. In this paper, we investigate t
he magnetic field dependence of NMR 1/T1T on the basis of our formalism and
show the interpretation to be inappropriate. We consider the Landau quanti
zation for the superconducting fluctuations as a main effect of the magneti
c field. The results indicate that the value of the characteristic magnetic
field (B-ch) is remarkably large in case of the strong coupling supercondu
ctivity, especially near the pseudogap onset temperature (T*). Therefore, t
he magnetic field dependences can not be observed and T* does not vary when
the strong pseudogap anomaly is observed. On the other hand, B-ch is Small
in the comparatively weak coupling case and T* varies when the weak pseudo
gap phenomena are observed. These results properly explain the high magneti
c field NMR experiments continuously from under-doped to over-doped cuprate
s. Moreover, we discuss the transport phenomena in the pseudogap phase. The
behaviors of the in-plane resistivity, the Hall coefficient and the c-axis
resistivity in the pseudogap phase are naturally understood by considering
the d(x2-y2)-wave pseudogap.