In this paper, electro-hydraulic coupling jet printing technology based on the Weissenberg effect is put forward for the first time, and the pulse voltage is used to realize the on-demand printing. The experimental results show that the Weissenberg effect can inhibit the solution reflux and make the solution converge into a cone tip at the nozzle, which is more conducive to position printing precisely. By exploring the influence principles of process parameters on printing, it is found that droplet diameter is positively correlated with rotation speed and negatively correlated with voltage frequency. The printing frequency is negatively correlated with the rotation speed and positively correlated with the voltage frequency. However, the effect of voltage amplitude and duty ratio on the printing effect is not obvious in a certain range. It is found that the rotation speed of needle core within the range of 1800 r/min-7500 r/min can print out the ideal lattice structure, which proves the feasibility of this system to realize on-demand positioning printing. Finally, by using the printing equipment, the sacrificial layer structure of PDMS microfluidic chip was successfully made and the function of the microfluidic chip was realized, which further verified the practicability of the technical scheme proposed in this paper.