We revisit the power spectrum analysis of the complete sample of the two degree field ( 2dF ) QSO redshift ( 2QZ ) survey , as a complementary test of the work by Outram et al . ( 2003 ) . A power spectrum consistent with that of the 2QZ group is obtained . Differently from their approach , fitting of the power spectrum is investigated incorporating the nonlinear effects , the geometric distortion and the light-cone effect . It is shown that the QSO power spectrum is consistent with the \Lambda cold dark matter ( CDM ) model with the matter density parameter \Omega _ { m } = 0.2 \sim 0.5 . Our constraint on the density parameter is rather weaker than that of the 2QZ group . We also show that the constraint slightly depends on the equation of state parameter w of the dark energy . The constraint on w from the QSO power spectrum is demonstrated , though it is not very tight .