A device for suppressing very fast transients, applicable in protecting electric and/or electric power equipment, and especially transformers operating in electric power substations and in wind power plants, connected in a supply network circuit downstream of a circuit breaker and upstream of the protected equipment is disclosed. The device is a component of an induction character, comprising a high-frequency magnetic core arranged around the current-conducting lead. On the magnetic core is wound at least one winding with at least one pair of terminals used for connecting at least one damping resistor. The inventive device contains an insulating body in which there is a magnetic core, a damping resistor and a winding, or an insulating body in which there is a magnetic core together with a damping resistor, a winding and a section of a current-conducting lead.