  We analytically establish an inequality analogous to the
Coffman-Kundu-Wootters inequality, which succinctly describes monogamy of
entanglement in $\mathbb{C}^d\otimes \mathbb{C}^d\otimes \mathbb{C}^d$
dimensional pure states. The derivation of this inequality is based on the
G-concurrence \cite{gour2} measure of entanglement. It is shown that the shared
entanglement of the subsystems of a pure tripartite qudit state always satisfy
a monogamy constraint.
