The Nucleosome Remodeling and Deacetylase (NuRD) complex is a chromatin-modifying assembly that regulates gene expression and DNA damage repair. Despite its importance, limited structural information is available on the complex and a detailed understanding of its mechanism is lacking. We investigated the molecular architecture of three NuRD sub-complexes: MTA1-HDAC1-RBBP4 (MHR), MTA1N-HDAC1-MBD3GATAD2CC (MHM), and MTA1-HDAC1-RBBP4-MBD3-GATAD2 (NuDe) using Bayesian integrative structure determination with IMP (Integrative Modeling Platform), drawing on information from SEC-MALLS, DIA-MS, XLMS, negative stain EM, X-ray crystallography, NMR spectroscopy, secondary structure and homology predictions. The structures were corroborated by independent cryo-EM maps, biochemical assays, and known cancer-associated mutations. Our integrative structure of the 2:2:2 MHM complex shows asymmetric binding of MBD3, whereas our structure of the NuDe complex shows MBD3 localized precisely to a single position distant from the MTA1 dimerization interface. Our models suggest a possible mechanism by which asymmetry is introduced in NuRD, and indicate three previously unrecognized subunit interfaces in NuDe: HDAC1C-MTA1BAH, MTA1BAH-MBD3, and HDAC160-100-MBD3. We observed that a significant number of cancer-associated mutations mapped to protein-protein interfaces in NuDe. Our approach also allows us to localize regions of unknown structure, such as HDAC1C and MBD3IDR, thereby resulting in the most complete structural characterization of these NuRD sub-complexes so far.