  We propose a new propagation formula for the Maxwell field in de Sitter space
which exploit the conformal invariance of this field together with a conformal
gauge condition. This formula allows to determine the classical electromagnetic
field in the de Sitter space from given currents and initial data. It only uses
the Green's function of the massless Minkowskian scalar field. This leads to
drastic simplifications in practical calculations. We apply this formula to the
classical problem of the two charges of opposite signs at rest at the North and
South Poles of the de Sitter space.
