According to a report which has considered six years of research by 28 different teams of scientists, the health claims made regarding mobile phones or the masts that broadcast their signals have not been substantiated.
But the researchers say this is only applies to short term use and long-term damage cannot be ruled out.
The £8.8m study is one of the biggest studies into their dangers and was conducted by the Mobile Telecommunications and Health Research (MTHR) programme led by Professor Lawrie Challis.
The MTHR final report looked at research which examined the effects of mobile phones on health factors such as blood pressure, brain function and cancer.
Professor Challis says the fears cannot be entirely disregarded because cancer has a long latency period, and mobile phones had not been in use long enough to rule out risk.
A second study is planned at a cost of £6 million which will follow mobile-users over a long period to see if intensity of use has any link with the frequency of cancers.
Professor Challis says the results are reassuring and there was no evidence of immediate or short-term damage and no association between use and cancer.
It seems experiments on tissue produced no effects, and the committee responsible for the programme believes that there is no need for further work in this area.
The researchers tested people who complained that they were hypersensitive to electromagnetic fields and they found that they were able to tell whether the fields were turned on or off but say their symptoms must have some other cause.
Although the mobile phone industry had jointly funded the research with the Government, Professor Challis emphasises that the committee had been protected from any undue influence.
Top researchers were used whose work had been published in peer-reviewed journals and of the 28 projects that were funded, 23 were now complete and published papers.