The Kondo system CeRu4Sn6 shows a strong anisotropy in its electric, optic and magnetic properties. We employ density functional theory plus dynamical mean field theory and show that the predominant Ce-f state has total angular moment J = 5/2 and z-component mJ = ±1/2 in agreement with recent X-ray absorption experiments. Even though CeRu4Sn6 has the direct gap of a Kondo insulator through most of the Brillouin zone it remains weakly metallic. This is because of (i) a band crossing in the z-direction and (ii) a negative indirect gap.PACS numbers: 71.27.+a, 31.15.V-