Abstract: The object of the invention is a pharmaceutically acceptable composition suitable to achieve a systemic therapeutical response due to its antitussis action in warm-blooded animals, characterized in that it contains, per dosage unit: (I) an amount therapeutically efficacious by systemic way due to the antitussis action of salified dextrorphan, and (II) a pharmaceutically non-toxic excipient acceptable for intranasal administering.