A variable-shaped log-periodic dipole antenna with adjustable pitch angle is proposed. By changing the rotation angle of the antenna body and the oscillator, the maximum radiation direction of the log-periodic dipole antenna is continuously adjustable within a certain range. And the addition of the X-type reflector effectively improves the front-to-back ratio and increases the gain of antenna. This log-periodic dipole antenna, which can adjust the rotation angle of the oscillator, can realize a wide impedance bandwidth ranging from 1 GHz to 2 GHz with Voltage Standing Wave Ratio(VSWR)<2 and the pitch angle continuously adjustable from 25° to 90°.