The present invention relates to a plasma-generating device, comprising an anode, a cathode and at least one intermediate electrode, said intermediate electrode being arranged at least partly between said anode and said cathode, and said intermediate electrode and said anode forming at least a part of a plasma channel which has an opening in said anode. Further, the plasma-generating device comprises at least one coolant channel which is arranged with at least one outlet opening which is positioned beyond, in the direction from the cathode to the anode, said at least one intermediate electrode, and the channel direction of said coolant channel at said outlet opening has a directional component which is the same as that of the channel direction of the plasma channel at the opening thereof. The invention also concerns a plasma surgical device and use of such a plasma surgical device.
