  The $^{246}$Cm(n,$\gamma$) and $^{248}$Cm(n,$\gamma$) cross-sections have
been measured at the Experimental Area 2 (EAR2) of the n_TOF facility at CERN
with three C$_6$D$_6$ detectors. This measurement is part of a collective
effort to improve the capture cross-section data for Minor Actinides (MAs),
which are required to estimate the production and transmutation rates of these
isotopes in light water reactors and innovative reactor systems. In particular,
the neutron capture in $^{246}$Cm and $^{248}$Cm open the path for the
formation of other Cm isotopes and heavier elements such as Bk and Cf and the
knowledge of (n,$\gamma$) cross-sections of these Cm isotopes plays an
important role in the transport, transmutation and storage of the spent nuclear
fuel. The reactions $^{246}$Cm(n,$\gamma$) and $^{248}$Cm(n,$\gamma$) have been
the two first capture measurements analyzed at n_TOF EAR2. Until this
experiment and two recent measurements performed at J-PARC, there was only one
set of data of the capture cross-sections of $^{246}$Cm and $^{248}$Cm, that
was obtained in 1969 in an underground nuclear explosion experiment. In the
measurement at n_TOF a total of 13 resonances of $^{246}$Cm between 4 and 400
eV and 5 of $^{248}$Cm between 7 and 100 eV have been identified and fitted.
The radiative kernels obtained for $^{246}$Cm are compatible with JENDL-5, but
some of them are not with JENDL-4, which has been adopted by JEFF-3.3 and
ENDF/B-VIII.0. The radiative kernels obtained for the first three $^{248}$Cm
resonances are compatible with JENDL-5, however, the other two are not
compatible with any other evaluation and are 20% and 60% larger than JENDL-5.
