We investigate the standard model Higgs decays into heavy quarkonia J/
psi and Y in both colour-singlet and colour-octet mechanisms. It is fo
und that in J/psi production the contribution through colour-octet pro
cesses overwhelm that in colour-singlet processes in the intermediate
region M-Z < M-H0 < 2M(W) and the fraction ratio is comparatively larg
e, but in Y production the contribution through the colour-octet mecha
nism is negligible.