In this paper, the author addresses a class of risk processes perturbed by diffusion and ortains the “time- dependent" Lundberg inequality, the “time- dependent" Lundberg exponent for the finite time ruin probability and its relation with the probability of ruin within infinite time. He compares the size of the Lundberg exponents, critical value for different kinds of risk model and also analyzes the numerical illustration for the impact of the parameters on the ruin probability.