We have obtained optical intermediate resolution spectra (R = 3000) of the narrow-line quasars DMS 0059−0055 and PG 1543+489. The [O III] emission line in DMS 0059−0055 is blueshifted by 880 km s relative to Hβ. We also confirm that the [O III] emission line in PG 1543+489 has a relative blueshift of 1150 km s. These two narrow-line quasars show the largest [O III] blueshifts known to date amon...