Sheffield Climate Alliance has put together a petition against fracking which will be presented at a full meeting of Sheffield Council on Wednesday.
The group is calling on the council to oppose the method of fossil fuel extraction where water is injected at high pressure into faults to release petroleum, natural gas, or other substances for extraction.
It has called on the council to focus instead on developing up to 6,000 new jobs in low carbon industries.
There are no plans for fracking in Sheffield or South Yorkshire at present.
An Alliance spokesman said: “The Government is now supporting this new gas extraction with public money.
“However, there are already six times more fossil fuel reserves than can safely be burned if we wish to have a good chance of avoiding catastrophic climate chaos.
“The science of this is clearly set out in a new American film Do the Math that can be viewed free of charge on YouTube.
“Fracking uses large quantities of water mixed with chemicals. Some 750 chemicals have been used in the US, including the carcinogen benzene, applied under high pressure.
“Afterwards, there are large quantities of highly polluted water that need to be treated. The process can also cause air and land pollution, and can cause earth tremors.”
Jenny Patient, from Sheffield Campaign against Climate Change, added: “People are worried about their fuel bills and keeping them low is best done by improving insulation which provides a long term solution and creates jobs.”
The Government disputes claims of environmental damage from fracking.
Visit www.sheffieldclimatealliance.net to sign the petition.