  We study the Lorentz and CPT violating effects on the ratio
\frac{BR_{LorVio}}{BR_{SM}}, where BR_{LorVio} (BR_{SM}) is the branching
ratios coming from the Lorentz violating effects (the SM), for the decays
H^0\to f^+ f^- (f= quarks and charged leptons) and H^0\to ZZ (W^+ W^-). We
observe that these new effects are too small to be detected, especially for f^+
f^- output, since the corresponding coefficients are highly suppressed at the
low energy scale.
