To provide a curable fluorinated polymer excellent in solubility in an alcohol, a method for its production and a cured product of the fluorinated polymer. A fluorinated polymer comprising units represented by the following formula (1), wherein in at least some of the units represented by the formula (1), Z1 is NR1NR2H or NR3OR4: in the formula (1), X1 and X2 are each independently a hydrogen atom or a fluorine atom, Q1 is a single bond or an etheric oxygen atom, Rf1 is a fluoroalkylene group, or a fluoroalkylene group with at least 2 carbon atoms, having an etheric oxygen atom between carbon-carbon atoms, Z1 is NR1NR2H, NR3OR4 or OR5, R1, R2, R3 and R4 are each independently a hydrogen atom or an alkyl group, and R5 is an alkyl group.