Lysosomes are of central importance in cellular recycling, nutrient signaling and endocytosis, are tightly connected to autophagy and the invasion of pathogenic bacteria and viruses. Lysosomal fusion events are fundamental to cell survival and require HOPS, a conserved heterohexameric tethering complex. HOPS recognizes and binds small membrane-associated GTPases on lysosomes and organelles, and assembles membrane bound SNAREs for fusion. Through tethering, HOPS brings membranes in close proximity to each other and significantly increases fusion efficacy by catalysing SNARE assembly. Consequently, different HOPS mutations are causative for severe diseases. Despite its fundamental cellular duties, it remained speculative how HOPS fulfils its function as high-resolution structural data were unavailable. Here, we used cryo-electron microscopy to reveal the structure of HOPS. In the complex, two central subunits form the backbone and an assembly hub for the functional domains. Two GTPase binding units extend to opposing ends, while the SNARE binding module points to the side, resulting in a triangular shape of the complex. Unlike previously reported, HOPS is surprisingly rigid and extensive flexibility is confined to its extremities. We show that HOPS complex variants with mutations proximal to the backbone can still tether membranes but fail to efficiently promote fusion indicating, that the observed integrity of HOPS is essential to its function. In our model, the core of HOPS acts as a counter bearing between the flexible GTPase binding domains. This positions the SNARE binding module exactly between the GTPase anchored membranes to promote fusion. Our structural and functional analysis reveals the link between the spectacular architecture of HOPS and its mechanism that couples membrane tethering and SNARE assembly, to catalyse lysosomal fusion.