  Monogamy relations characterize the distributions of entanglement in
multipartite systems. We investigate monogamy relations related to the
concurrence $C$ and the entanglement of formation $E$. We present new
entanglement monogamy relations satisfied by the $\alpha$-th power of
concurrence for all $\alpha\geq2$, and the $\alpha$-th power of the
entanglement of formation for all $\alpha\geq\sqrt{2}$. These monogamy
relations are shown to be tighter than the existing ones.
