Ultrasonic machining (USM) process is a competent technique to machine hard, brittle, conductive, and nonconductive materials with intricate profile and good surface finish. The present study touches the area of designing and development of a profiled hollow Sonotrode, which is capable of making protrusions, used in USM machines to magnify the amplitude of vibration and transfer it from the transducer end to the tool end. The length of the paraboloid hollow cylindrical sonotrode profile, for fixed top end and bottom end area, is determined by solving a second order general differential equation governing its profile and applying boundary conditions to it. Subsequently, the gain in amplitude is also determined from the general differential equation using numerical method. Further the modal analysis is carried out to find the natural frequencies and the mode shapes of the developed 3D profile of the sonotrode using ANSYS R19.2 Workbench software. The natural frequency for longitudinal mode shape is found to be approximately equal to the frequency for which the sonotrode was designed.