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After recalling the definitions of the Abel-Radon transformation of currents and of locally residual currents, we show that the Abel-Radon transform $ℛ\left(\alpha \right)$ of a locally residual current $\alpha$ remains locally residual. Then a theorem of P. Griffiths, G. Henkin and M. Passare (cf. [7], [9] and [10]) can be formulated as follows  :We show in this note that this theorem remains valid for an arbitrary residual current of bidegree $(N,p)$, in the particular case where $p=1$.