People have been warned not to give money to strangers and instead report incidents to police in Helston.
It was after a concern was raised at the last meeting of the town council, in particular about one man who regularly approaches people.
PC Anne Butcher said: “I would encourage everybody to report instances for us.
“I would always wish to resolve situations by working with other agencies, but if that doesn’t solve the situation the police’s only other course is to take criminal action.”
She said all the different organisations were aware and the more evidence officers could gather the quicker the solution.
Mayor, Mike Thomas, said: “I think it’s a testament to our town that people are so tolerant and willing to offer support.
It just concerns me that somebody who doesn’t have that tolerance will do a mischief.”