Abstract.We have observed K-band Surface Brightness Fluctuations (SBF) in NGC 1427 and NGC 720. We combine our measurements with distance measurements based on I-band SBF distance moduli and distance moduli derived by other distance indicators. When using distances from I-band SBF, we obtain M K = −6.55 ± 0.27 for NGC 1427 and M K = −6.43±0.18 for NGC 720. When using an average of direct distance measurements, we obtain M K = −6.17 ± 0.23 for NGC 1427 and M K = −6.14 ± 0.24 for NGC 720. For both galaxies, M K lies well above the average value used as a calibration for distance indication (M K = −5.61 ± 0.12 Jensen et al. 1998). In NGC 720 the high K-band SBF are most probably due to an intermediate-age population. However, there is no hint from current data for any anomaly in the stellar population of NGC 1427. These large variations of M K in several galaxies underline once more the need for a better understanding of M K as a function of stellar population properties (Mei et al. 2001b;Liu et al. 2001), especially with respect to the potential presence of intermediate-age populations.