Recent measurements of the spin polarization of particles produced in nuclear collisions have opened a new frontier in the study of strong-interaction matter under extreme conditions. This development requires advancements in understanding the non-equilibrium evolution of spin distribution in a hot QCD-like plasma. In this talk, we present a novel formulation of spin kinetic theory based on the algebra of spin-dependent Poisson brackets and the action principle. In the linear response regime, we establish a precise relation between the kinetic and field-theory descriptions of spin distributions. Furthermore, we will discuss collisional effects within this framework, aiming to reveal the mechanism of angular momentum transfer between orbital angular momentum and spin.