A proton exchange membrane is obtained which can give an excellent power generation characteristic when the membrane is applied to, in particular, a fuel cell wherein high-concentration methanol is used as a fuel. In the aromatic hydrocarbon based proton exchange membrane of the invention, the ion exchange capacity is set into the range of 0.6 to 1.3 meq/g. Moreover, the area swelling rate for a 30% by mass methanol aqueous solution at 40.degree. C. is set into the range of 2 to 30%. Preferably, a sulfonic acid group is bonded to an aromatic ring of the aromatic hydrocarbon based polymer contained in the aromatic hydrocarbon based proton exchange film. Preferably, the aromatic hydrocarbon based polymer is a polyarylene ether based polymer.