I have the satisfaction on our present meeting of being able to communicate the successful termination of the war which had been commenced against the United States by the Regency of Algiers. The squadron in advance on that service, under Commodore Decatur, lost not a moment after its arrival in the Mediterranean in seeking the naval force of the enemy then cruising in that sea, and succeeded in capturing two of his ships, one of them the principal ship, commanded by the Algerine admiral. The high character of the American commander was brilliantly sustained on the occasion which brought his own ship into close action with that of his adversary, as was the accustomed gallantry of all the officers and men actually engaged. Having prepared the way by this demonstration of American skill and prowess, he hastened to the port of Algiers, where peace was promptly yielded to his victorious force. In the terms stipulated the rights and honor of the United States were particularly consulted by a perpetual relinquishment on the part of the Dey of all pretensions to tribute from them. The impressions which have thus been made, strengthened as they will have been by subsequent transactions with the Regencies of Tunis and of Tripoli by the appearance of the larger force which followed under Commodore Bainbridge, the chief in command of the expedition, and by the judicious precautionary arrangements left by him in that quarter, afford a reasonable prospect of future security for the valuable portion of our commerce which passes within reach of the Barbary cruisers. It is another source of satisfaction that the treaty of peace with Great Britain has been succeeded by a convention on the subject of commerce concluded by the plenipotentiaries of the two countries. In this result a disposition is manifested on the part of that nation corresponding with the disposition of the United States, which it may be hoped will be improved into liberal arrangements on other subjects on which the parties have mutual interests, or which might endanger their future harmony. Congress will decide on the expediency of promoting such a sequel by giving effect to the measure of confining the American navigation to American sea men--a measure which, at the same time that it might have that conciliatory tendency, would have the further advantage of increasing the independence of our navigation and the resources for our maritime defense.