We construct dyon solutions in SU(N) with topological electric and magnetic charge. Assuming a |Phi|^4-like potential for the Higgs field we show that the mass of the dyons is relatively insensitive to the coupling parameter lambda characterizing the potential. We then apply the methodology of constructing dyon solutions in SU(N) to G2. In order to define the electromagnetic field consistently in the manner that we propose we find that dyon solutions exist only when G2 is considered under the action of its maximal and regular subgroup SU(3). In this case we find two different types of dyons, one of which has properties identical to dyons in SU(3). The other dyon has some properties which are seemingly atypical, e.g. the magnetic charge g_m = 4 pi 3/e, which differs from the t Hooft/Polyakov monopole where g_m = 4 pi 1/e.
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