The fixed aluminoxanes have been prepared on zeolite support Na-form of ZSM-5 (Si/Al=42) in reaction of partial hydrolysis of trimethylaluminium (TMA) with inside zeolite water. It was shown that aluminoxanes synthesized on zeolite surface form the heterogenized complexes with Cp2ZrCl2 and Et[Ind](2)ZrCl2 which are active in ethylene polymerization without addition of other aluminiumorganic cocatalyst for a long time. The activation energy of ethylene polymerization in the presence of ZSM-5(H2O)/TMA-Et[Ind](2)ZrCl2 is equal to 32 kJ/mol. Molecular weight and melting point of polyethylene obtained with such zeolite supported Zr-cene catalysts are higher than those of polyethylene formed with appropriate homogeneous metallocene systems.