Bags of asbestos and large sheets have been illegally dumped in two areas of Leicester.
The waste was found on Freeman Road North in early November and a week later more was discovered at Thurnby Lodge Boys Club on Thurncourt Road.
In both cases, corrugated asbestos waste was found in large sheets or smashed up and sealed in plastic bags.
Leicester City Council's environmental crime team said it was investigating.
'Unlikely' health treats
Councillor Sarah Russell, one of the assistant city mayors, said if the asbestos material discovered was not disturbed by the public, it was "unlikely" to have any health implications to people.
"The dumping of asbestos material in public places like this is highly irresponsible and a matter we treat very seriously," she said.
"There are strict guidelines about the way asbestos material is disposed of and the implications of not following these guidelines can lead to a prosecution."
Enforcement officer Paul Rudkin, from Leicester City Council, added: "We are appealing to any members of the public who may have had an asbestos structure removed recently, or who have any information whatsoever that may assist with our investigation."
Anyone with an information about the asbestos fly-tipping are asked to call the city council's environmental crime team.