The multipole expansion of a general plane polarised electromagnetic field is derived. This is accomplished by calculating the coefficients of the dynamical multipole expansion of electromagnetic fields, representing generic solutions of the Maxwell equations in a source-free region. The analytical results are confirmed by comparing the suitably terminated expansions to the exact fields.Introduction: General multipole representations of electromagnetic fields [1] have applications in scattering, diffraction, semiclassical radiation in atoms and nuclei [2] and in statistical electromagnetics [3,4]. A stochastic theory of polarisation has been presented and applied in [5,6]. In this Letter, we derive the dynamical multipole expansion of the general plane polarised fields [7]. Our study contains as special cases linear and circular polarisations. The convergence of the obtained series representing the polarised electromagnetic fields is addressed as well.