  A topological pump enables robust transport of quantized particles when the
system parameters are varied in a cyclic process. In previous studies,
topological pump was achieved inhomogeneous systems guaranteed by a topological
invariant of the bulk band structure when time is included as an additional
synthetic dimension. Recently, bulk-boundary correspondence has been
generalized to the bulk-disclination correspondence, describing the emergence
of topological bounded states in the crystallographic defects protected by the
bulk topology. Here we show the topological pumping can happen between
different disclination states with different chiralities in an inhomogeneous
structure. Based on a generalized understanding of the charge pumping process,
we explain the topological disclination pump by tracing the motion of Wannier
centers in each unit cell. Besides, by constructing two disclination structures
and introducing a symmetry-breaking perturbation, we achieve a topological
pumping between different dislocation cores. Our result opens a route to study
the topological pumping in inhomogeneous topological crystalline systems and
provides a flexible platform for robust energy transport.
