She joins on 18 April and will report to commander Frank Armstrong.
At Essex Police, Burton leads a team of 25. 'The world changed after 9/11 - there are an increasing number of terrorist threats,' she explained.
'The City is a target for terrorists so I will be working with the Met to make sure we have the correct procedures in place.
'The problem is that people can be complacent, especially tourists, so there is a need to communicate the risks, although there is a fine line to tread to make people aware of dangers without alarming them,' she added.
The force, charged with guarding the capital's Square Mile, has local council the Corporation of London as its regulatory authority. Only 8,000 people live in the financial district.
'Three-hundred-thousand people come into the Square Mile to work, plus thousands of tourists every day, so we have a large population of people with different communications needs,' said interim head of comms Liam Herbert.
'We have to engage in innovative comms and there is a lot of partnership with trade body London First and City firms to address this challenge,' he added.
As well as counter-terrorism measures, the force's priorities include fraud, community safety, and public order.
Herbert said: 'We manage high-profile events at St Paul's Cathedral and The Guildhall, as well as demonstrations.
'People come to the City because it is a high-profile financial centre with iconic buildings that make good pictures.'
City of London Police has a five-strong comms team, which is charged with internal and external comms, marketing and stakeholder relations.
Burton replaces Peter Holt, who left in August to join the Northern Ireland Policing Board.
City of London and Metropolitan Police this week launched their annual anti-terrorism campaign, with posters cautioning the public to be on their guard.