Mitochondrial energy conversion requires an intricate architecture of the inner mitochondrial membrane. Here we show that in ciliates, the membrane curvature is provided by a supercomplex containing all four respiratory chain components. We report cryo-electron microscopy and cryo-tomography structures of the supercomplex that comprises 150 different proteins and 311 bound lipids, forming a stable 5.8-megadalton assembly. Due to subunit acquisition and extension, complex I associates with a complex IV dimer, generating a wedge-shaped gap that serves as a binding site for complex II. Together with a tilted complex III dimer association, it results in a curved membrane region. Using molecular dynamics simulations, we demonstrate that the divergent supercomplex actively contributes to the membrane curvature induction and cristae tubulation. Our findings explain how the architecture of the native I-II-III2-IV2 supercomplex reflects the functional specialization of bioenergetics by shaping the membrane.