Effects of non-Gaussian noise on negative mobility in an inertial ratchet were investigated by means of stochastic simulation method. The absolute negative mobility (ANM), negative nonlinear mobility (NDM), and negative differential mobility (NNM) were simulated, separately. Results indicate that: (i) non-Gaussian noise can either enhance or diminish the phenomena of ANM, and non- Gaussian noise also can induce NDM and NNM in regions of parameter space. (ii) The average velocity-correlation time characteristics shift towards small value of correlation time. (iii) The absolute value of negative-valued minima decreases as the non-Gaussian noise parameter q increases.