Prediction of aerodynamic noise is the key technology for the internal weapon bay of supersonic aircraft. Nonlinear numerical simulation is proposed as a new method to analyze noise recently. The Non-Linear Acoustic Solver (NLAS) is employed to study the cavity noise in supersonic combined with Reynolds-averaged Navier-Stokes (RANS) equation. It is shown by the comparison between the calculated results and the WICS wind tunnel tests when the Mach number is 2, the sound pressure level of every monitoring point is in good agreement with experiments. It indicates that the NLAS method which is based on turbulence reconstruction could well simulate the cavity noise in supersonic and reduce mesh numbers. Based on this, the contribution to aerodynamic noise suppression made by active control measure such as adding jet screen at the leading edge of cavity is investigated. It is found that jet screen improves flow condition and increases cavity safety, therefore, it is suitable for suppression of aerodynamic noise under supersonic condition.