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Making spintronic devices is a hot topic for future technical development. In this work the non-equilibrium dynamics of a single spin in a tunnel junction is analyzed and numerically simulated. This is done in order to understand the dynamics of e.g. a magnetic molecule between two metal contacts for future spintronic devices. The work starts with looking at the system in a many-body theory picture in order to derive the interesting properties of the system. An initial solution for the system is analytically calculated as well as for the dynamic case. The dynamic has then been numerically simulated in order to get the time evolution of the system. The results showed that the dynamics of the molecular spin induced a spin dependent charge and spin currents in the system and that the currents could be used to control the molecular spin. It showed qualitatively how different parameters, for example coupling strength, effect the system and what to consider when designing a system similar to this.