We report the discovery of a possible close binary system of quasars in SDSS J1048+0055 .
The [ OIII ] \lambda \lambda 4959,5007 emission lines are clearly double-peaked , and two discrete radio sources with a projected physical separation of \sim 20 pc are found in the VLBA milliarcsec resolution image at 8.4 GHz .
Each of the [ O III ] \lambda \lambda 4959 , 5007 doublets and H \beta can be well modelled by two Gaussians and the line ratio , [ OIII ] \lambda 5007 / H \beta \sim 7 , is typical of Seyfert 2 galaxies .
No broad component of H \beta was detected and its [ OIII ] \lambda 5007 luminosity , L _ { [ OIII ] } \approx 9.2 \times 10 ^ { 42 } erg s ^ { -1 } , is comparable to luminous quasars and is a few ten times more luminous than typical Seyfert galaxies .
One natural interpretation is that SDSS J1048+0055 contains two close quasar-like nuclei and the BLR around them are obscured .
Other possible models are also discussed .
We suggest that double-peaked narrow emission line profile may be an effective way of selecting candidates of binary black holes with intermediate separation .