We calculate the anomalous magnetic moment of anyons in the three dime
nsional CPN-1 model with a Chem-Simons term in various limits in 1/N e
xpansion. We have found that for anyons of infinite mass the gyromagne
tic ratio (g-factor) is 2 up to the next-to-leading order in 1/N. Our
result supports a recent claim that the g-factor of nonrelativistic an
yons is exactly two. We also found that for - 8/pi < theta < 0, the el
ectromagnetic interaction between two identical anyons of large mass a
re attractive.