Nanocrystalline diamond films were grown by hot filament chemical vapor deposition. The thermal conductivity of the films was measured using the 3v-method. Nanocrystalline diamond films grown under the presented growth conditions are rather homogeneous in film properties within the entire film thickness and deposited area. The considerably smaller thermal conductivities, compared to single crystal diamond can be explained by an influence of the grain boundaries with varying grain sizes. We use a theoretical approach to describe the thermal conductivity of nanocrystalline materials to characterize the grain boundaries thermal boundary conductivity also with respect to the growth conditions.