  We make a reanalysis on the issue of neutrino speed anomaly by taking into
account the newly reported data from the ICARUS experiment and other CNGS
collaborations. We examine the consequence of the Lorentz violation on the
neutrino speed in a new framework of standard model supplement (SMS), and find
that the Lorentz violating parameters are constrained at least one order
stronger than that of the earlier OPERA report. The combination with other
phenomenological considerations puts more stringent constraints on the Lorentz
violation of neutrinos.
