The invention relates to an extinguishing device designed for local firefighting in buildings on site at the source of a fire, said extinguishing device having a nozzle device having an extinguishing unit comprising a plurality of extinguishing nozzles designed for applying an extinguishing agent at the location of the source of the fire and for decentralized arrangement in the building, further comprising at least one extinguishing agent container connected to the extinguishing nozzles in a fluid-communicating fashion, at least one pressure-generating device for applying the extinguishing agent via the extinguishing nozzles, and at least one fire alarm sensor. According to the invention, the pressure-generating device is designed to generate an application pressure of at least 10 bar on the extinguishing agent.