Provided is a process for producing a fluoropolymer containing repeating units based on a fluoromonomer represented by the following formula (m) in an amount of from 5 to 50 mol % based on the entire repeating units in the polymer by polymerization reaction of tetrafluoroethylene and the fluoromonomer, wherein the polymerization reaction is carried out by continuously charging the reactor with tetrafluoroethylene and the fluoromonomer: wherein ml is an integer of from 1 to 6. Also provided is an electrolyte material for an electrolyte fuel cell which can be operated at a high temperature to obtain a high output, wherein the electrolyte material contains the fluoropolymer produced by the process.