  In this paper, we derive the expression for spectral dimension using a
modified diffusion equation in the kappa-deformed space-time. We start with the
Beltrami-Laplace operator in the kappa-Minkowski space-time and obtain the
deformed diffusion equation. From the solution of this deformed diffusion
equation, we calculate the spectral dimension which depends on the deformation
parameter `$a$' and also on an integer `$k$', apart from the topological
dimension. Using this, we show that, for large diffusion times the spectral
dimension approaches the usual topological dimension where as spectral
dimension diverges to $+\infty$ for $k\geq 0$ and $-\infty$ for $k < 0$ at high
energies .
