The time-varying state of polarization of an optical channel modified by the intensity of other channels in a three-channel WDM system is measured. It compares well with theory expanded from a previously published two-channel model. A change in the polarization state of an optical signal caused by the nonlinear refractive index in a wavelengthdivision multiplexed (WDM) transmission system has been previously reported [1,2]. If the optical powers of the WDM channels are modulated, cross-polarization modulation degrades the degree of polarization of the signal. This can have deleterious effects in many optical systems: in combination with polarization-dependent gain or loss it can cause interchannel crosstalk [4], it can degrade the performance of polarization-mode dispersion (PMD) compensators [2,3], and in systems employing polarization modulation [5,6] it can cause crosstalk between the channels. Although cross-polarization modulation can seriously degrade signal quality, it can easily be overlooked in system experiments. Laboratory demonstrations often use co-polarized channels to maximize crosstalk due to other non-linearities [5], but this minimizes cross-polarization modulation. Because this phenomenon can be a serious impairment, it is important to understand and model it for multi-channel WDM systems.In previously published models of the cross-polarization modulation with two WDM channels, the two channels precess about an average Stokes vector. This model predicted measurements of a RF-tone modulated two-channel system very well for a variety of optical modulation depths and modulation frequencies [1]. A typical WDM communication system, however, has many more than two channels. Here we extend the previous model to a general WDM multi-channel system and compare it to measurements of a three-channel WDM system. One implication of this model is that the depolarization caused by cross-polarization modulation is deterministic, and therefore cannot be treated as random noise in the state of polarization when considering other nonlinear optical effects such as cross-phase modulation.