An electrolyte membrane which comprises a cation exchange membrane made of a polymer having cation exchange groups and contains cerium ions is used as an electrolyte membrane for a polymer electrolyte fuel cell. In a case where the cation exchange membrane has sulfonic acid groups, the sulfonic acid groups are ion-exchanged, for example, with cerium ions so that cerium ions are contained preferably in an amount of from 0.3 to 20% of —SO3− groups contained in the cation exchange membrane. A membrane for a polymer electrolyte fuel cell capable of power generation in high energy efficiency, having high power generation performance regardless of the dew point of the feed gas and capable of stable power generation over a long period of time, can be provided.