To provide a fluorinated aromatic polymer having excellent heat resistance and a low relative permittivity; and an insulating film for electronic devices and an insulating film for multilayered wiring boards, which are made of the polymer. A fluorinated aromatic polymer which contains two or more crosslinkable functional groups (A) per molecule and has a number average molecular weight of from 1×10
3
to 5×10
5
and an ether linkage and which is produced by e.g. a method in which a branched fluorinated aromatic compound (B) represented by the formula 1 and a compound (Y1) having a crosslinkable functional group (A) and a phenolic hydroxyl group, are subjected to a condensation reaction in the presence of a HF-removing agent:
1