The 16 August 1999 EUV brightenings are numerically simulated by a third-order upwindcompact scheme, basing on the TRACE observation. The present simulation can give a possibleexplanation to its formation and evolution. The numerical results show that the initial reconnectionjets at around X-point are responsible for the occurrence of EUV brightening. The strong andsuperposed ejections caused by the first and second coalescence of magnetic islands are possiblyrelated to the lifted material which initially appeared as absorption features and Later EUV-emittingstructures respectively. The bi-directional reconnection jets may correspond to the lifted materialthat either continued to move upward along the apparently open field lines or fell down to the surface.