Deubiquitylases (DUBs) play a pivotal role in cell signalling and are often regulated by homo- or hetero-interactions within protein complexes. The BRCC36 isopeptidase complex (BRISC) regulates inflammatory signalling by selectively cleaving K63-linked polyubiquitin chains on Type I interferon receptors (IFNAR1). BRCC36 is a Zn2+-dependent JAMM/MPN DUB, a challenging ubiquitin protease class for the design of selective inhibitors. We identified first-in-class DUB inhibitors that act as BRISC molecular glues (BLUEs). BLUEs inhibit DUB activity by stabilising a BRISC dimer consisting of 16 subunits. The BLUE-stabilised BRISC dimer is an autoinhibited conformation, whereby the active sites and interactions with the recruiting subunit SHMT2 are blocked. This unique mode of action leads to highly selective inhibitors for BRISC over related complexes with the same catalytic subunit, splice variants and other JAMM/MPN DUBs. Structure-guided inhibitor resistant mutants confirm BLUEs on-target activity in cells, and BLUE treatment results in reduced interferon-stimulated gene (ISG) expression in human peripheral blood mononuclear cells from Scleroderma patients, a disease linked with aberrant IFNAR1 activation. BLUEs represent a new class of molecules with potential utility in Type I interferon-mediated diseases and a template for designing selective inhibitors of large protein complexes by promoting protein-protein interactions instead of blocking them.