The alumina ceramic membrane has been modified by the addition of palladium in order to improve the H 2 permeability and selectivity. Palladium-alumina ceramic membrane was prepared via a sol–gel method and subjected to thermal treatment in the temperature range 500–1100 °C. Fractal analysis from nitrogen adsorption isotherm is used to study the pore surface roughness of palladium-alumina ceramic membrane with different chemical composition (nitric acid, PVA and palladium) and calcinations process in terms of surface fractal dimension, D. Frenkel–Halsey–Hill (FHH) model was used to determine the D value of palladium-alumina membrane. Following FHH model, the D value of palladium-alumina membrane increased as the calcinations temperature increased from 500 to 700 °C but decreased after calcined at 900 and 1100 °C. With increasing palladium concentration from 0.5 g Pd/100 ml H 2O to 2 g Pd/100 ml H 2O, D value of membrane decreased, indicating to the smoother surface. Addition of higher amount of PVA and palladium reduced the surface fractal of the membrane due to the heterogeneous distribution of pores. However, the D value increased when nitric acid concentration was increased from 1 to 15 M. The effect of calcinations temperature, PVA ratio, palladium and acid concentration on membrane surface area, pore size and pore distribution also studied.