We present and solve a gravitationally self-consistent sea-level equat
ion which governs postglacial sea-level variations on a spherically sy
mmetric, self-gravitating, viscoelastic and rotating Earth. We find th
at the inclusion of a glacio-isostatically induced rotational excitati
on can significantly affect previous predictions of both present-day s
ea-level rates and postglacial sea-level histories which were based on
a theory that assumed a non-rotating Earth model. To illustrate, we c
onsider present-day sea-level rates (and tide-gauge corrections) along
the US east coast, and relative sea-level curves in the far field of
the late Pleistocene ice sheets.