Characteristics ofthe nonlinear dust ion acoustic solitary waves in dusty plasma with weak relativistic effect are examined. We consider the weakly relativistic effect of electron species, the ion species with nonthermal distribution and charged dust grains. The nonlinear Korteweg-de Vries equation is derived from the governing normalized basic set of equations. The numerical calculations show the influence of non-thermal ion population on the width and amplitude of dust ion acoustic solitary waves. Space plasma and interstellar medium are the areas where the results of the work can be applied.