  The paper investigates the existence and upper semicontinuity of uniform
attractors of the perturbed non-autonomous Kirchhoff wave equations with strong
damping and supercritical nonlinearity: $u_{tt}-\Delta
u_{t}-(1+\epsilon\|\nabla u\|^{2})\Delta u+f(u)=g(x,t)$, where $\epsilon\in
[0,1]$ is a perturbed parameter. It shows that when the nonlinearity $f(u)$ is
of supercritical growth $p: \frac{N+2}{N-2}=p^*<p<p^{**}=\frac{N+4}{(N-4)^+}$:
(i) the related evolution process has a compact uniform attractor
$\mathcal{A}_\ls^\e $ for each $\epsilon\in [0,1]$; (ii) the family of uniform
attractor $\mathcal{A}_\ls^\e $ is upper semicontinuous on the perturbed
parameter $\epsilon$ in the sense of partially strong topology.
