Vile posters calling for 'sh**skins, ni***s and chi**s' to 'get out' of Australia have been plastered over the walls of a Melbourne primary school.

A deliberately provocative online Neo-Nazi group claimed responsibility for the racist flyers, which also suggested the murder of Jewish people should be legalised.

A cleaner who was called to the school on Monday said the repulsive posters were covered just before children arrived to class.

'It seems they jumped the fence either last night or on the weekend. Luckily the teachers got there first to cover them up,' James told 3AW.

Vile posters calling for 'sh**skins, ni***s and chi**s' to 'get out' of Australia have been plastered over the walls of a Melbourne primary school

A deliberately provocative online Neo-Nazi group claimed responsibility for the racist flyers, which also suggest the murder of Jewish people should be legalised

'I rocked up to this school at lunchtime and there's African kids, Asian kids, white kids and sub-continental kids all playing next to these covered up posters.'

The cleaner added: 'It's just gutless, cowardly.'

The posters were also found at two of the city's elite high schools, Melbourne Grammar and Melbourne High, over the weekend.

'Last night we hit two Melbourne High Schools, Melbourne Grammar School being the first,' the group posted on Twitter.

'And Melbourne High School: These high schools are overrun by non-whites, which is encouraged by our traitorous government. 60 posters in all.'

Victoria Police said it was aware of the flyers and were investigating.

The posters were also found at two of the city's elite high schools, Melbourne Grammar and Melbourne High, over the weekend

'Last night we hit two Melbourne High Schools, Melbourne Grammar School being the first,' the group posted on Twitter

'Every Victorian has the right to feel safe and secure in the community and Victoria Police will not tolerate any attempts to incite hatred or violence,' a spokesperson said.

'We ask anyone who witnesses, or is subject to discrimination or victimisation on the basis of ethnicity or religious beliefs to inform police immediately.'

The Neo-Nazi group, which Daily Mail Australia has chosen not to name, plastered the same posters over a Melbourne university campus in December.

It was also responsible for a set of flyers calling for transgender and gay people to be gunned down at Swinburne University on October 11 - the day before an annual LGBTI pride day event.

'We're the Hitlers you've been waiting for,' the group's website proclaims.