  Entanglement and uncertainty relation are two focuses of quantum theory. We
relate entanglement sharing to the entropic uncertainty relation in a $(d\times
d)$-dimensional system via weak measurements with different pointers. We
consider both the scenarios of one-sided sequential measurements in which the
entangled pair is distributed to multiple Alices and one Bob and two-sided
sequential measurements in which the entangled pair is distributed to multiple
Alices and Bobs. It is found that the maximum number of observers sharing the
entanglement strongly depends on the measurement scenarios, the pointer states
of the apparatus, and the local dimension $d$ of each subsystem, while the
required minimum measurement precision to achieve entanglement sharing
decreases to its asymptotic value with the increase of $d$. The maximum number
of observers remain unaltered even when the state is not maximally entangled
but has strong-enough entanglement.
