3C 351 is one of the most X-ray-quiet radio quasars (alpha(OX) approxi
mately 1.6). We have observed 3C 351 with the ROSAT position sensitive
proportional counter (PSPC) and find a complex X-ray spectrum which i
s not well reproduced by a power law plus low-energy cutoff model. Sof
t excess, partial covering, and ''warm absorber'' models can all produ
ce acceptable fits, although only the warm absorber model gives typica
l values for the high-energy continuum slope. The alpha(OX) measured b
y using quasi-simultaneous ROSAT, MMT, and HST observations is in the
range 1.5-1.6, significantly above the average of 1.37 (sigma approxim
ately 0.15) for a complete sample of 33 3CR quasars. If the soft exces
s or partial covering models are correct, 3C 351 appears X-ray-quiet i
n the PSPC band because it has an extremely steep or flat intrinsic hi
gh-energy spectral slope. However, if the warm absorber model is corre
ct, the quasar is intrinsically X-ray-quiet; the normalization of the
intrinsic (unabsorbed) X-ray emission is unusually low relative to the
optical luminosity. We investigate the properties of our warm absorbe
r model in some detail. The apparently complicated behavior of the fit
parameters may be understood by considering the effects of changing a
bsorbing column and ionization parameter on intrinsic power-law spectr
a of different slopes.