Methylation of histone H3K4 is a hallmark of actively transcribed genes that depends on mono-ubiquitination of histone H2B (H2B-Ub). H3K4 methylation in yeast is catalyzed by Set1, the methyltransferase subunit of COMPASS. We report here the cryo-EM structure of a six-protein core COMPASS subcomplex, which can methylate H3K4 and be stimulated by H2B-Ub, bound to a ubiquitinated nucleosome. Our structure shows that COMPASS spans the face of the nucleosome, recognizing ubiquitin on one face of the nucleosome and methylating H3 on the opposing face. As compared to the structure of the isolated core complex, Set1 undergoes multiple structural rearrangements to cement interactions with the nucleosome and with ubiquitin. The critical Set1 RxR motif adopts a helix that mediates bridging contacts between the nucleosome, ubiquitin and COMPASS. The structure provides a framework for understanding mechanisms of trans-histone cross-talk and the dynamic role of H2B ubiquitination in stimulating histone methylation. (a) Cryo-EM structure of the COMPASS-nucleosome complex. The unsharpened EM density 71 showing two COMPASS molecules bound to the nucleosome is depicted as a semitransparent 72 surface. The sharpened EM density of the complex is depicted as an opaque surface and 73 colored according to the different subunits of the complex. (b) The model of the COMPASS-74 nucleosome complex is shown and colored as in panel a. The unstructured histone H3 tail 75 residues between the H3 exit point in the nucleosome and the Set1 active site are depicted as a 76 blue dashed line. (c) Large scale structural motions of COMPASS from the nucleosome-free 77 state to the nucleosome-bound state. Free COMPASS (PDB: 6BX3) is colored gray and 78 Nucleosome-bound COMPASS is colored according to panel b. The largest motion in the 79 structural transition at the end of Cps40 is shown as a black dashed arrow. (d) The COMPASS-80 nucleosome structure viewed from the dyad axis. The distances between the cis-H3 and trans-81 H3 subunits and the H3 residues in the Set1 active site are shown as dashed black lines. structure suggests that the previously observed conformational flexibility of COMPASS 129 is important for nucleosome recognition. 130 131The Set1 active site is oriented away from the nucleosome and contains density for the 132 SAM cofactor and the bound H3 tail (Figure 1d, Figure S3). The intervening sequence 133 of the H3 tail, from its exit point in the nucleosome (P38) to the first resolved residue in 134 the Set1 active site (T6), is not visible in the maps, suggesting that these residues are 135 highly mobile (Figures 1b, d). To determine which copy of histone H3 was connected to 136