  The phenomenological investigation of noncommutative space-time in the
laboratory frame are presented. We formulate the apparent time variation of
noncommutativity parameter $\theta_{\mu\nu}$ in the laboratory frame due to the
earth's rotation. Furthermore, in the noncommutative QED, we discuss how to
probe the electric-like component
  $\overrightarrow{\theta_{E}}=(\theta_{01},\theta_{02},\theta_{03})$ by the
process $e^-e^+\to\gamma\gamma$ at future $e^-e^+$ linear collider.
  We may determine the magnitude and the direction of
  $\overrightarrow{\theta_{E}}$ by detailed study of the apparent time
variation of total cross section.
  In case of us observing no signal, the upper limit on the magnitude of
$\overrightarrow{\theta_E^{}}$ can be determined independently of its
direction.
