  We analyzed the recently published kHz QPO data in the neutron star low-mass
X-ray binaries (LMXBs), in order to investigate the different correlations of
the twin peak kilohertz quasi-eriodic oscillations (kHz QPOs) in bright Z
sources and in the less luminous Atoll sources. We find that a power-law
relation $\no\sim\nt^{b}$ between the upper and the lower kHz QPOs with
different indices: $b\simeq$1.5 for the Atoll source 4U 1728-34 and
  $b\simeq$1.9 for the Z source Sco X-1. The implications of our results for
the theoretical models for kHz QPOs are discussed.
