Scientists at the Physicians' Health Initiative for Radiation and Environment (Phire) say the increase of GBM has until now been masked by the overall fall in other types of brain tumour.
Last night the group said the increasing rate of tumours in the frontal temporal lobe "raises the suspicion that mobile and cordless phone use may be promoting gliomas".
Professor Denis Henshaw, scientific director of Children with Cancer UK, which is allied to Phire, said: "Our findings illustrate the need to look more carefully at, and to try to explain the mechanisms behind, these cancer trends, instead of brushing the causal factors under the carpet and focusing only on cures."
In 2015 the European Commission scientific committee on emerging and newly identified health risks concluded that, overall, studies on cell phone radiation exposure do not show an increased risk of brain tumours or other head and neck cancers.
This was despite a study the previous year indicating long-term use tripled the risk of brain cancer, although this contradicted other studies.
Cancer Research UK said it was "unlikely" that mobile phones increased the risk of brain tumours, however "we do not know enough to completely rule out a risk".
Kevin McConway, emeritus professor of applied statistics at The Open University, said: "It's important, though, to understand that this new paper did not examine any new data at all about potential causes for the increase."
The study lists causal factors aside from mobile phone use, including radiation from X-rays, CT scans and the fallout from atomic bomb tests in the atmosphere.
The Daily Telegraph