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The goal of electron linear accelerator project in institute for research in fundamental sciences(IPM) is to build its components as many as they can in Iran. This accelerator is a traveling wave type. Investigations show that there are various techniques in forming and connecting the accelerating tube cavities. The shrinking method applied for constructing the accelerating tube is selected based on the one applied for Stanford University’s Mark III accelerator. With success in building an 8-cavity test tube and finding the problems of the method, the construction of the final accelerating tube with 24 cavities has been accomplished. The results show that the obtained frequency of 2996.5 MHz and quality factor of 11200, satisfy the design desired values.