<p>The Newtonian mechanics explanation for the magnetic hysteresis and a generalized expression suitable for both the mechanical and magnetic hysteresis are proposed. From comparing the mechanical and magnetic hysteresis, the deviation and connection between the two types of hysteresis are discussed to consider expressing them in a generalized way. Built on magnetic domain theory and the large-scale rotation assumption of the magnetization, the magnetic hysteresis is described by the dynamical equation with a random variable and an approximation method is proposed for the non-random variable model to approach the random variable solution. The mathematical expression is analyzed to construct a generalized form for the hysteresis model and to discuss what is being done mathematically when modelling the hysteresis. The large-scale rotation assumption provides an effective Newtonian mechanics equation for magnetic hysteresis and the generalized form provides a mathematical framework to produce various hysteresis models applicable to different hypotheses. We think the mechanical and magnetic hysteresis are generalized physically and mathematically in this manuscript.</p>