This article provides an overview of measurements and models of millimeter‐wave (mmWave) propagation channels. After a review of the frequency dependence of propagation phenomena and the definition of parameters of interest, we then discuss the different methods for measuring mmWave channels both indoors and outdoors. Then follows an overview of the key measurement results, surveying again the literature of indoor channels, outdoor channels, and the impact of moving people. A survey of different types of channel models, including 3GPP type, geometry‐based stochastic channel models, and map‐based models elucidates the aspects of those models that are particularly relevant for mmWave frequencies. A discussion of the interaction of channels and mmWave systems and an outlook and discussion of future research topics round off this article.