  We describe an efficient way for measuring the concurrence of the
hyperentanglement. In this protocol, the hyperentangled state is encoded in
both polarization and momentum degrees of freedom. We show that the
concurrences of both polarization and momentum entanglement can be conversed
into the total success probability of picking up the odd-parity state and can
be measured directly. This protocol requires the weak cross-Kerr nonlinearity
to construct the quantum nondemolition measurement and does not resort to the
sophisticated controlled-not gate operation. It is feasible in current
experimental technology.
