We present a systematic study on a large magnetoresistance in NbSe3 as a fu
nction of temperature under various pressures. The large magnetoresistance
below T-c2 is observed as long as the T-c2-CDW phase exists. However, when
the T-c2-CDW phase is suppressed totally by high pressure and the supercond
ucting phase is induced at the same time, no anomaly, including the large m
agnetoresistance, is induced by a magnetic field up to 12 T. The origin of
the large magnetoresistance is discussed by considering normal carriers on
the ungapped Fermi surface created on the CDW transition and comparing this
magnetoresistance with the pressure-induced magnetoresistance that is newl
y observed above T-c2.