Security has been bumped up around Trump's New York home including a no-fly zone and concrete posts around Trump tower

They said that 'every threat is taken seriously' as it's likley that those posting will be investigated

Sources close to the Secret Service said the agency was monitoring the situation and had seen a spike in threats since election day

Others also called for the death of vice president-elect Mike Pence

'So who's going to assassinate Trump at his inauguration?' one Twitter user demanded to know

Just days after Donald Trump won the election, Twitter has erupted with calls for his assassination.

The Republican beat Democrat rival Hillary Clinton to become the 45th president of the United States on Tuesday.

But the controversial figure, who has denigrated women, called Mexican immigrants 'rapists' and pledged to ban Muslims from entering America, appears to have made a few enemies during his divisive campaign.

After the results were announced, many of those who opposed Trump rushed to Twitter to call for his assassination.

T witter is exploding with people calling for president-elect Donald Trump to be assassinated

'So who's going to assassinate Trump at his inauguration?' one Twitter user demanded to know.

'I just pray that the first n***a who tries to assassinate Donald Trump don't miss ', another added.

One joked: 'My mom is talking about assassinate donald trump. watch out guy my white suburban mother is coming for you.'

While some also called for the death of vice president-elect Mike Pence.

'I f trump wins pls dont assassinate him without getting mike pence first because his a** is f***ing crazy,' one user tweeted.

While the First Amendment allows freedom of speech, death threats against political figures - particularly the next president of the United States are taken very seriously by security agencies.

Trump pumps his fist during his election night rally after he beat Democrat rival Hillary Clinton to become the 45th president of the United States on Tuesday

A source close to the Secret Service, told the DailyMail.com that the agency were well aware of the threats and that they had seen a spike since Trump was elected on Tuesday.

They said there were 'mechanisms in place' to monitor social media for such posts, and to determine which threats were more concerning than others but said that 'every threat was taken seriously'.

Agents can then 'drill down' into someone's social media history to find out if the threat is a one off or comes from a history of worrying behavior.

Escalating threats pose the greatest concern and require 'more of prompt response'.

The source said that now was particularly busy for the agency as there were two potential targets; the sitting president and the president-elect.

Donald Trump has swiftly beefed up security around his New York home following his surprise election win which also saw protests erupt around the country.

More than 6,000 protesters were seen on the streets of Oakland where an office block was also attacked, daubed with 'f*** Trump' and 'kill Trump' graffiti and then set alight.

Outside Trump Tower, protesters gathered with signs reading 'Dump Trump'.

A two-mile no-fly zone has been established around Trump Tower that will effectively put a stop to popular sightseeing flight paths.

After the results were announced, many of those who opposed Trump rushed to Twitter to call for his assassination

The no-fly zone will be in play until Trump's inauguration on Friday 20 January, 2017, when he will move into the White House. Meanwhile, on the ground, police officers have helped to install concrete barriers around the Tower. A row of sanitation trucks filled with sand have been acting as barricades along Fifth Avenue since Monday.

People who work and live inside the lavish building will now be vetted by the Secret Service.

The Secret Service has a history of investigating threats made by people on Twitter.

In March this year, Eli Martinez, 20, had tweeted what he called a joke, saying 'I think I have to kill Trump. None of y'all gon do it, I have to take measures in my own hands.'

He thought little about it until a few days later, when Secret Service agents showed up at his Chicago home and 'questioned the hell' out of him.

He said they wanted to know about about his personal, medical and employment history, if he was a U.S. citizen and if he'd ever purchased weapons.

'I thought he was kidding or I was dreaming,' Martinez told Mashable.

Members of the New York Police Department's Counterterrorism Bureau stand watch outside Trump Tower earlier this week

Police officers help to install concrete barriers around Trump Tower, the home of President-elect Donald Trump on Wednesday

A man tries to remove 'Kill Trump' graffiti as demonstrators riot in Oakland, California

Thousands of anti-Trump protesters hit the streets in NYC chanting 'Not My President'

Another Twitter user, who goes by the name Kevin Supernaw on the social network site, posted a picture of agents outside his home last year after he tweeted 'Ima shoot Donald the next time I see him.'

He claimed that his room was raided and he was interrogated by two FBI agents and three Secret Service agents over his threat.

A 29-year-old Iowan woman said she 'tweeted something like 'just let me shoot, you ass' while waiting outside a gun range as Trump's sons shot rifles inside.

She says agents showed up at her workplace, with a screenshot of the offending tweet, and warned she could spend ten years in prison for the threat.

A Secret Service spokesperson warned: 'If you see anything that applies on Twitter, we're going to investigate it.'

They said that anyone that 'knowingly and willfully threatens to kill, kidnap, or inflict bodily harm' upon a candidate can expect a visit, and could face fines and up to five years in jail.

President Obama also faced unprecedented number of death threat tweets and in 2012, the Secret Service asked Twitter users to report suspicious tweets

Government agencies also have the power to request an Emergency Disclosure Report on the user which can list IP addresses, email addresses, phone numbers and direct messages that authorities obtained from Twitter and other social networks.

The Secret Service has a history of investigating threats made by people on Twitter. One user posted a picture of agents outside his home last year after he tweeted 'Ima shoot Donald the next time I see him'