Magnetic reconnections were observed in the magnetotail when a southward interplanetary magnetic field (IMF) blows toward the Earth. Protons will be accelerated in an ion diffusion region (IDR) near the center of the X-line, and the magnetic energy in the field will be converted to increase the kinetic energy of the protons. Magnetic reconnection in the magnetotail is simulated with a two-dimensional hybrid model, in which electrons are treated as fluid and ions are treated as particles. The effects of magnetic field perturbation, current-sheet width and ion-to-electron mass ratio on the reconnection rate are analyzed. The parameters extracted from the data measured with the Cluster spacecraft in the magnetotail on September 10, 2001, are also used to check the validity of this model.