Abstract Meter-scale shallowing-upwards cycles (SUCs) are common in the shallow marine platform carbonate deposits around the world and throughout the geologic record. Despite that, their origin remains largely unresolved. Possible mechanisms capable of producing this kind of cyclicity include periodic (orbitally driven) and random sea-level oscillations, Ginsburgian autocyclicity, and random or quasi-periodic tectonic processes. Shallow-marine carbonate deposits of the Cambro-Ordovician Aisha-Bibi seamount (Malyi Karatau, Kazakhstan) contain tens to hundreds of meter-scale SUCs. Those cycles are typically composed of (from bottom to top) (1) transgressive lag flat-pebble conglomerates, (2) subtidal cross-stratified and bioturbated peloidal grainstones with mudstone drapes, intraformational flat-pebble conglomerates, and occasional thrombolites, (3) intertidal ribbon rocks (centimeter-scale heterolithic interlayering of mudstone and grainstone), and (4) upper intertidal-supratidal mudcracked cyanobacterial laminites and stromatolites. Boundaries between the subfacies within each cycle are typically transitional, reflecting gradual change from one laterally adjacent depositional subenvironment to the other; the boundaries between the cycles, however, are sharp and commonly erosional, separating non-adjacent subfacies and indicating abrupt change in sedimentation. Although each depositional cycle represents deposition under conditions of gradual lowering of relative sea level, the uninterrupted stacks of multiple SUCs indicate occurrence of repetitive high-frequency relative sea-level oscillations during the sediment accumulation. Three continuous, well-exposed cyclic sections were measured in detail; the longest one (Ooshbas) contains 124 cycles. That allowed us to test the Aisha-Bibi SUC sedimentary record for presence of orbital periodicities. Frequency modulation analysis was applied in order to overcome problems related to variable sediment accumulation rates. Time-series analysis of the Ooshbas SUC stacking patterns revealed the presence of Cambrian precessional periodicities, registering three out of four characteristic precessional “bundling” frequencies with > 90% confidence. That suggests that the depositional cyclicity recorded in the shallow marine deposits of Aisha-Bibi was driven by Milankovitch-forced eustatic sea-level changes.