A static broadband snapshot imaging spectrometer (BSIS) is proposed. This device consists of a telescope, four prisms, a focusing lens, and a detector. The first prism disperses sharply in the visible range along the vertical direction, and it is relatively nondispersive in the mid-wave infrared range. The second prism controls the beam deviation introduced by the first prism. The third prism is substantially more dispersive in the mid-wave infrared range than within the visible range along the horizontal direction. The fourth prism controls the beam deviation caused by the third prism. The BSIS will disperse the spectra of a target to form a V-shaped dispersion pattern (DP). The formulas and numerical simulation of the DP are given. The BSIS can locate multiple targets based only on one frame of data. The BSIS is suitable for detecting and measuring energetic targets in real time.