Abstract The Quaternary Baram Delta is more than 1 km thick on the outer continental shelf of Brunei, and includes mud-prone highstand delta lobes, sand-prone lowstand shelf-edge deltas, incised-valley fills, and transgressive sheet-like deposits lying on wave-cut ravinement surfaces. The shelf break is defined by a prominent fault scarp ∼ 130 m below sea level. Beyond, the seabed descends at an average of 2– 3° to the Borneo Trough at depths exceeding 2750 m. Uppermost Quaternary units thicken by a factor of 2–5 across en echelon shelf-edge growth faults, then progressively thin seaward as an extensive prodelta wedge that drapes irregular slope morphology. The slope owes its rugged relief to gravity-driven growth faulting, mud diapirism, cutting of submarine canyons, sediment sliding, and construction of levees alongside sporadically active turbidity-current channels that head in the region of shelf-edge deltas. During highstands, muddy lobes of the Baram Delta repeatedly extended to the upper slope as a consequence of high sediment yields and narrow shelf width. During the last lowstand, the Baram River cut an incised valley across the narrow shelf so that its muddy sediment load largely bypassed the continental margin through a major canyon. Delta deposits in the canyon head collapsed to generate a debris-flow complex that buries much of the canyon floor and that extends over large areas of the lower slope and Borneo Trough. This paper demonstrates that thick, extensive prodelta muds and associated turbidites can blanket basin slopes even during highstands in areas with high sediment supply and narrow shelves. Conversely, during lowstands, the suspended load of deltas can largely bypass the continental margin through incised valleys and canyons, resulting in reduced sedimentation on basin slopes.