  In this paper, we study the power spectrum of the uniformly accelerating
scalar field, obeying the $\kappa$-deformed Klein-Gordon equation. From this we
obtain the $\kappa$-deformed corrections to the Unruh temperature, valid up to
first order in the $\kappa$-deformation parameter $a$. We also show that in the
small acceleration limit, this expression for the Unruh temperature in
$\kappa$-deformed space-time is in exact agreement with the one derived from
the $\kappa$-deformed uncertainty relation. Finally, we obtain an upper bound
on the deformation parameter $a$.
