In the aftermath, social media users have posted their experiences online of being told to "get out" while police are investigating the distribution of cards outside a school telling "Polish vermin" to leave the country.
There has been a 57 per cent surge in reporting of hate crime since the referendum took place when compared to the same time last month.
BBC presenter Sima Kotcheta said she was verbally abused in Basingstoke while reporting for the broadcaster. She said she was shocked after being called a "P**i" in her home town.
On Monday, UK Prime Minister David Cameron and opposition leaders said there would be no tolerance for hate crime in the UK.
"We have a fundamental responsibility to bring our country together," he said, citing the "despicable graffiti" seen at a Polish centre in London.
"These people have come here and made a wonderful contribution to our country. We will not stand for hate crime," he said.
The country is still reeling from the shock result that has left Vote Leave campaigners scrambling to find a plan for what a post-Brexit UK will look like.
Boris Johnson has suggested the UK will retain access to the single market and suggested immigration was not what motivated people to vote.
However that's at odds with UKIP leader Nigel Farage who wants strict border controls and said he was "beginning to detect there may be some backsliding" in terms of the promises made during the campaign.