  We obtain the quasinormal modes for tensor perturbations of Gauss-Bonnet (GB)
black holes in $d=5, 7, 8$ dimensions and vector perturbations in $d = 5, 6, 7$
and 8 dimensions using third order WKB formalism. The tensor perturbation for
black holes in $d=6$ is not considered because of the fact that it is unstable
to tensor mode perturbations. In the case of uncharged GB black hole, for both
tensor and vector perturbations, the real part of the QN frequency increases as
the Gauss-Bonnet coupling ($\alpha'$) increases. The imaginary part first
decreases upto a certain value of $\alpha'$ and then increases with $\alpha'$
for both tensor and vector perturbations. For larger values of $\alpha'$, the
QN frequencies for vector perturbation differs slightly from the QN frequencies
for tensorial one. It has also been shown that as $\alpha' \to 0$, the
quasinormal mode frequency for tensor and vector perturbation of the
Schwarzschild black hole can be obtained. We have also calculated the
quasinormal spectrum of the charged GB black hole for tensor perturbations.
Here we have found that the real oscillation frequency increases, while the
imaginary part of the frequency falls with the increase of the charge. We also
show that the quasinormal frequencies for scalar field perturbations and the
tensor gravitational perturbations do not match as was claimed in the
literature. The difference in the result increases if we increase the GB
coupling.
