The report of the Secretary of War shews the progress made during the three first quarters of the present year by the application of the fund appropriated for arming the militia. Much difficulty is found in distributing the arms according to the act of Congress providing for it from the failure of the proper departments in many of the States to make regular returns. The act of May 12, 1820 provides that the system of tactics and regulations of the various corps of the Regular Army shall be extended to the militia. This act has been very imperfectly executed from the want of uniformity in the organization of the militia, proceeding from the defects of the system itself, and especially in its application to that main arm of the public defense. It is thought that this important subject in all its branches merits the attention of Congress. The report of the Secretary of the Navy, which is now communicated, furnishes an account of the administration of that Department for the three first quarters of the present year, with the progress made in augmenting the Navy, and the manner in which the vessels in commission have been employed. The usual force has been maintained in the Mediterranean Sea, the Pacific Ocean, and along the Atlantic coast, and has afforded the necessary protection to our commerce in those seas. In the West Indies and the Gulf of Mexico our naval force has been augmented by the addition of several small vessels provided for by the "act authorizing an additional naval force for the suppression of piracy", passed by Congress at their last session. That armament has been eminently successful in the accomplishment of its object. The piracies by which our commerce in the neighborhood of the island of Cuba had been afflicted have been repressed and the confidence of our merchants in a great measure restored. The patriotic zeal and enterprise of Commodore Porter, to whom the command of the expedition was confided, has been fully seconded by the officers and men under his command. And in reflecting with high satisfaction on the honorable manner in which they have sustained the reputation of their country and its Navy, the sentiment is alloyed only by a concern that in the fulfillment of that arduous service the diseases incident to the season and to the climate in which it was discharged have deprived the nation of many useful lives, and among them of several officers of great promise.