The invention relates to a lissajous device based on the optical crystal refractive index profile electro-optical modulation principle. The lissajous device comprises a laser device, a beam collimator, an electro-optical modulation unit and a CCD image sensor, KTN crystal is processed into a cuboid structure, metal plate electrodes are prepared through a coating technology, the two pairs of plate electrodes are arranged on the side face of the crystal, each pair of plate electrodes is connected with an external modulation voltage source, and sine and cosine modulation is carried out on each modulation voltage source; after an incident beam is modulated through the KTN crystal, and emergent beam track is received by the CCD image sensor. The device has the advantages of adopting single beam operation, dispensing with a folded path and being free of mechanical vibration, low in space loss, large in frequency dynamic modulation range, capable of being manipulated at high accuracy, high in device integration level and stability and capable of modulating the beam in a multi-direction mode.