A survey says 85% of the public believe their local authority's computer systems have been breached.
The online survey of 240 members of the public was carried out by web security firm Sophos before the HM Revenue & Customs data breach had come to light.
The survey also showed that 93% of respondents were concerned that they did not know what security measures were in place at their council.
The poll revealed that 85% believed that their local authority's IT systems have probably already suffered a security breach at the hands of cyber criminals.
In addition, 57% do not believe that local authorities are doing enough to protect information stored on their network, with 93% stating that they do not know, but would like to know, what steps councils are taking to defend themselves against hackers.
"One of the major challenges facing the public sector is that an increasing number of its services are going online for the public to use - great idea, but only if you have a proven security strategy in place that your users believe in.
"Yesterday's revelation about the security breach at HMRC is a clear indication that the Government must do more to protect this information, whether it is online, on a CD, or wherever - after all, it is the general public's data at risk," said Carole Theriault, senior security consultant at Sophos.