We propose that accretion can induce a neutron star magnetic field dec
ay because the ferromagnetic accreted matter screens the magnetic fiel
d of neutron star. Our model results suggest that: (i) the surface mag
netic field decay is inversely correlated with the accretion mass in t
he X-ray binary accretion phase as Delta M-0.4, (ii) the 'Bottom Field
Strength' of about 10(8) G can occur when the accreted matter has com
pletely replaced the crust mass of neutron star, (iii) most of the ori
ginal magnetic field is compressed into the beneath of the accreted ma
tter, so the internal field strength is larger than the original field
strength and (iv) the field-period relation is obtained which is cons
istent with the evolutionary track of the binary X-ray sources.