  Quasiparticle states near the surface of a quasi-one-dimensional organic
superconductor $({TMTSF})_{2}{PF}_6$ are studied based on an extended Hubbard
model on a quasi-one dimensional lattice at quarter-filling. Three types of
pairing symmetries, (i) p-wave, (ii) d-wave, or (iii) $f$-wave are assumed. The
resulting surface density of states has characteristic features for each
pairing symmetry: i) a zero-energy peak (ZEP) in a U-shaped structure, ii) a
V-shaped structure without ZEP, and iii) a ZEP in a V-shaped structure. From
these results, we propose that the tunneling spectroscopy serves as a strong
method to identify the the pairing symmetry in $({TMTSF})_{2}{PF}_6$.
