In this research, a parabolic reflector antenna fed by a log-periodic dipole array (LPDA) was designed for the broadband requirement in the space very long baseline interferometry (SVLBI) project. Geometric parameters for LPDA and reflector were calculated and selected based on the major performance indicators, then the simulation and results were obtained in the software ANSYS Electronics 2021. The realized antenna gain exceeded the engineering requirement of 15 dB, and related issues were also studied and analyzed.