A method for preparation for mesoporous oxide comprising a non silica oxide having a hexagonal pore structure periodicity and an average maximum pore length of from 2 nm to 5 nm, characterized by comprising blending 0.003 mol to 0.01 mol of TaCl.sub.5, NbCl.sub.5 or a mixture thereof and Al isopropoxide comprising 10 g of an aliphatic linear alcohol and 1 g of a template compound to prepare a mixture for forming a sol solution, adding 5 mol to 35 mol (based on the metal compounds) of water or an aqueous inorganic acid solution to the mixture followed by hydrolysis and polycondensation to give a sol solution, transferring the sol into an oxygen containing atmosphere followed by again at 40.degree. C. to 100.degree. C. to form a gel, and then calcinating the gel in an oxygen containing atmosphere at 350.degree. C. to 550.degree. C.; and the mesoporous oxide obtained by the method.