We grew InN films on Si(111) substrates, to which a biased electric filed was applied positively or negatively, by electron cyclotron resonance plasma-assisted molecular-beam epitaxy (ECR plasma-assisted MBE) in order to suppress ion damage due to N 2 + ions or/and impurity incorporation due to some ions of residual impurities generated by ECR plasma and have investigated the effects of bias voltage on film characteristics. The surface morphology was improved, the carrier concentration decreased, and the Hall mobility increased with increase of the bias voltage probably because of the two reduction effects of impurity incorporation and ion damage due to N 2 + ions generated by ECR plasma. Very recently, several researchers have observed the strong infrared PL emissions near 0.7-0.9 eV from α-InN films on c-plane sapphire substrates with high crystalline quality [3,4]. However, although no infrared µ-PL emissions near 0.7-0.9 eV were observed from our samples, the InN bandgap energy of 1.89 eV is very doubtful at the present. We have investigated the bias voltage dependence of InN films grown on Si(111) substrates, to which biased electric fields were applied positively or negatively, by electron cyclotron resonance plasma-assisted molecular-beam epitaxy (ECR plasma-assisted MBE) in order to improve the film quality by suppressing ion damage due to positive N 2 + ions or impurity incorporation due to ions of some residual impurities generated by the ECR plasma.