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We present a multipartite entanglement measure for $N$-qudit pure states,using the norm of the correlation tensor which occurs in the Blochrepresentation of the state. We compute this measure for important class of$N$-qutrit pure states, namely general GHZ states. We prove that this measurepossesses almost all the properties expected of a good entanglement measure,including monotonicity. Finally, we extend this measure to $N$-qudit mixedstates via convex roof construction and establish its various properties,including its monotonicity.

An Experimentally accessible geometric measure for entanglement in $N$-qudit pure states