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Mobility model serves as the basis of protocol design and simulation in mobile wireless networks. In this paper, we propose a novel mobility model for mobile wireless networks, named smooth Gauss–semi-Markov (SGM) mobility model. Introducing Gauss and semi-Markov processes, the model can characterize the smooth movement of mobile users in accordance with the physical law of motion in order to eliminate sharp turns, abrupt speed change and sudden stops exhibited by existing mobility models. The SGM model consists of five consecutive phases: acceleration phase, stable phase, turn phase, deceleration phase and pause phase, including almost all kinds of movement states in realistic conditions. Through stochastic analysis, we prove mathematically the time stationary average speed and uniform spatial node distribution in the SGM model. The model can be easily and flexibly applied for simulating node mobility in mobile wireless networks. By adjusting parameters, many existing mobility models widely used at present, such as the Random Walk, Random Direction, Modified Random Direction, Gauss–Markov, Semi-Markov Smooth, Smooth Random mobility models, etc., can be derived from the SGM model. We show the unity and generality of the SGM model by NS-2 simulations.