  The Kuramoto model, which describes synchronization phenomena, is a system of
ordinary differential equations on $N$-torus defined as coupled harmonic
oscillators. The order parameter is often used to measure the degree of
synchronization. In this paper, a few properties of the continuous model for
the Kuramoto model are investigated. In particular, the moments systems are
introduced for both of the Kuramoto model and its continuous model. By using
them, it is proved that the order parameter of the $N$-dimensional Kuramoto
model converges to that of the continuous model as $N\to \infty$.
