Effect of the spectral statistics and level correlation on the itinerant fe
rromagnetism (FM in nanoscale metallic grains is presented. The magnetizati
on and spin susceptibility at zero temperature depend only on the spin spli
tting and the average level spacing. The Stoner criterion implies that the
Coulomb interaction is greater than the Fermi energy for the appearance of
FM long-range order. The spin wave excitation is found to be different from
that of translation-invariant lattice. (C) 2000 Elsevier Science B.V. All
rights reserved.