The neutron-induced fission cross section of 243 Am was measured relative to that of 235 U from thermal neutron energy to 15 keV making use of a double fission chamber with 243 Am and 235 U electrodeposited layers. The data above 0.05eV were measured using a lead slowing-down spectrometer coupled to an electron linear accelerator. A relative measurement to the 10 B(n, a) reaction was also made using a BF3 counter at energies below lkeV, and normalized to the absolute value obtained by using the cross section of the 235 U(n, f) reaction between 200 e V and 1 ke V. The existing experimental data by \Visshak and Kappeler, and by Knitter and Budtz-J0rgensen are in general agreement with the current measurement in the relevant energy region. However, the data by Seeger are considerably higher. The evaluated nuclear data in JENDL-3.2, ENDF /B-VI and JEF-2.2, whose data were broadened by the energy resolution function of the spectrometer, have been compared with the measured result. The fission cross section for thermal neutrons was measured in a neutron field with a pure Maxwellian spectrum. The derived result at 0.0253 e Vis 81.3±2.5 mb. The data by Wagemans et al. and in ENDF /B-VI are close to the current measurement. However, the values by Asghar et al., Gavrilov et al. and Mughabghab, and the evaluated data in JENDL-3.2 and JEF-2.2 are discrepant from the current result by a factor of 1.4 to 2.4.