Two-stream instability is one of some typical instabilities occurred in ionosphere. It exists in equatorial ionospheric and auroral ionospheric E region. Generally speaking, the two-stream instability appears occasionally due to the presence of a relative strong vertical electric field needed. In recent decades, several powerful High-Frequency (HF) radio wave transmitters were set up successively in the world, which provide us convenience to study the interaction of HF radio waves with plasmas. For example, the parametric process between the powerful HF radio waves (pump waves) and the ionospheric plasma, which will excite the electrostatic waves, and some instabilities may be produced under special conditions. In this paper, one dimension PIC (Particle In Cell) electrostatic particle simulation is used to study the interaction of pump waves with the equatorial ionospheric E region. The simulation results show that pump waves can control the two-stream instability. With different parameters, the instability can be stabilized or destabilized by the pump waves. The results are consistent with the theoretical model qualitatively. The simulation studying provides the probabilities for artificial control the irregularities by very strong radio waves on the ground.