A common method is the dynamic light scattering. A device that use this method is the Zetasizer Nano Range from Malvern. I've used it several times and it gave me great results, oderwise it is a sensitive device and may be well calibrated and the sample well prepared.
You can use TEM or XRD as Shankar said. TEM is a powerful tool to measure particles in nanoscale. You need to report your TEM results as a histogram of particle size distribution.
There are several methods as mentioned already. The best method is High Resolution TEM. However, the sample preparation is most important in TEM investigation. The nanoparticles have a tendency to agglomerate, therefore the powder particles should be well dispersed before characterization.