A leading civil rights organisation has demanded authorities shut down a neo-Nazi concert planned for Melbourne next month, which features a band that sings about killing immigrants, before a note is played.

The concert, scheduled for October 12 at a secret Melbourne location, is being spruiked online by white supremacist groups Southern Cross Hammerskins and Blood and Honour.

Both have been banned in several countries, but have so far been free to gather and organise in Australia.

The event's flyer bills the concert as an "ISD memorial", a nod to notorious British neo-Nazi and Blood and Honour founder, Ian Stuart Donaldson, who died in 1993.

Anti-Defamation Commission chairman Dr Dvir Abramovich said the event represented a "moral moment" for Victoria.