A lightning protection spark gap assembly comprises: a lighting protection spark gap having a first main connection and a second main connection, wherein a first voltage line of a supply network is connectable to the first main connection and a second voltage line of the supply network is connectable to the second main connection; a safety fuse device which is triggerable and which is connectable between the first or second voltage line and the corresponding main connection of the lightning protection spark gap, wherein at least one current path leading via the lighting protection spark gap is formable between the first voltage line and the second voltage line during operation; an indicator device for detecting a current flow in the current path or a corresponding portion of the current flow in the current path and for mechanically or electrically delayed triggering of the safety fuse device.