Kinetochore specification and assembly requires the targeted deposition of specialized nucleosomes containing the histone H3 variant CENP-A at centromeres. However, CENP-A is not sufficient to drive full-kinetochore assembly, and it is not clear how centromeric chromatin is established. Here, we identify CENP-W as a component of the DNA-proximal constitutive centromere-associated network (CCAN) of proteins. We demonstrate that CENP-W forms a DNA-binding complex together with the CCAN component CENP-T. This complex directly associates with nucleosomal DNA and with canonical histone H3, but not with CENP-A, in centromeric regions. CENP-T/CENP-W functions upstream of other CCAN components with the exception of CENP-C, an additional putative DNA-binding protein. Our analysis indicates that CENP-T/CENP-W and CENP-C provide distinct pathways to connect the centromere with outer kinetochore assembly. In total, our results suggest that the CENP-T/CENP-W complex is directly involved in establishment of centromere chromatin structure coordinately with CENP-A.