During the last decade an increasing interest in passive multiband systems for temperature measurement was noted and quite a few such systems have been developed. However, recent studies showed that multiband systems are capable of producing accurate results of non-contact temperature measurement only in limited number of applications and that multiband systems will not become a real rival for single band systems in temperature measurement applications. Available literature about passive multiband systems concentrated exclusively on the problem of temperature measurements with these systems in situation when these systems can be used for non-contact emissivity measurements too. A model of a passive multiband system for non-contact emissivity measurement has been developed in this paper. Simulations carried out using this model showed that it is possible to achieve reasonable accuracy of emissivity measurements with passive multiband systems and these systems can be considered as an attractive solution for emissivity measurements in industrial conditions.