The far right party hopes to march through the city on April 20, the birth date of the Nazi leader.
The National Front insists that the march is being planned as a protest to the SNP.
A spokesman said the date had been chosen as it is the founding date of Scotland's leading party, set up in 1934, and any relation to Hitler was "pure coincidence".
Permission is being sought for 100 National Front members to march from the Adelphi in the city centre to Union Terrace Gardens.
Sultan Feroz, of Aberdeen Trades Council, said: "Aberdeen is a clean city out of racism and fascism.
"We don't want any organisation whose policies are based on racism and fascism, insulting to all people in Aberdeen."
An Aberdeen City Council spokesman said: "A notification application for a public procession on part of Union Street has been received for April 20.
"The application will be considered in due course having gone through the appropriate licensing channels."