The condition of the Army itself, as relates to the officers and men, in science and discipline is highly respectable. The Military Academy, on which the Army essentially rests, and to which it is much indebted for this state of improvement, has attained, in comparison with any other institution of a like kind, a high degree of perfection.

Experience, however, has shewn that the dispersed condition of the corps of artillery is unfavorable to the discipline of that important branch of the military establishment. To remedy this inconvenience, eleven companies have been assembled at the fortification erected at Old Point Comfort as a school for artillery instruction, with intention as they shall be perfected in the various duties of that service to order them to other posts, and, to supply their places with other companies for instruction in like manner. In this mode a complete knowledge of the science and duties of this arm will be extended throughout the whole corps of artillery. But to carry this object fully into effect will require the aid of Congress, to obtain which the subject is now submitted to your consideration.

Of the progress which has been made in the construction of fortifications for the permanent defense of our maritime frontier, according to the plan decided on and to the extent of the existing appropriations, the report of the Secretary of War, which is herewith communicated, will give a detailed account. Their final completion can not fail to give great additional security to that frontier, and to diminish proportionably the expense of defending it in the event of war.

The provisions in several acts of Congress of the last session for the improvement of the navigation of the Mississippi and the Ohio, of the harbor of Presqu'isle, on Lake Erie, and the repair of the Plymouth beach are in a course of regular execution; and there is reason to believe that the appropriation in each instance will be adequate to the object. To carry these improvements fully into effect, the superintendence of them has been assigned to officers of the Corps of Engineers.

Under the act of 30th April last, authorizing the President to cause a survey to be made, with the necessary plans and estimates, of such roads and canals as he might deem of national importance in a commercial or military point of view, or for the transportation of the mail, a board has been instituted, consisting of two distinguished officers of the Corps of Engineers and a distinguished civil engineer, with assistants, who have been actively employed in carrying into effect the object of the act. They have carefully examined the route between the Potomac and the Ohio rivers; between the latter and Lake Erie; between the Alleghany and the Susquehannah; and the routes between the Delaware and the Raritan, Barnstable and Buzzards Bay, and between Boston Harbor and Narraganset Bay. Such portion of the Corps of Topographical Engineers as could be spared from the survey of the coast has been employed in surveying the very important route between the Potomac and the Ohio. Considerable progress has been made in it, but the survey can not be completed until the next season. It is gratifying to add, from the view already taken, that there is good cause to believe that this great national object may be fully accomplished.

It is contemplated to commence early in the next season the execution of the other branch of the act--that which relates to roads--and with the survey of a route from this city, through the Southern States, to New Orleans, the importance of which can not be too highly estimated. All the officers of both the corps of engineers who could be spared from other services have been employed in exploring and surveying the routes for canals. To digest a plan for both objects for the great purposes specified will require a thorough knowledge of every part of our Union and of the relation of each part to the others and of all to the seat of the General Government. For such a digest it will be necessary that the information be full, minute, and precise.

With a view to these important objects, I submit to the consideration of the Congress the propriety of enlarging both the corps of engineers--the military and topographical. It need scarcely be remarked that the more extensively these corps are engaged in the improvement of their country, in the execution of the powers of Congress, and in aid of the States in such improvements as lie beyond that limit, when such aid is desired, the happier the effect will be in many views of which the subject is perceptible. By profiting of their science the works will always be well executed, and by giving to the officers such employment our Union will derive all the advantage, in peace as well as in war, from their talents and services which they can afford. In this mode, also, the military will be incorporated with the civil, and unfounded and injurious distinctions and prejudices of every kind be done away. To the corps themselves this service can not fail to be equally useful, since by the knowledge they would thus acquire they would be eminently better qualified in the event of war for the great purposes for which they were instituted.

Our relations with the Indian tribes within our limits have not been materially changed during the year. The hostile disposition evinced by certain tribes on the Missouri during the last year still continues, and has extended in some degree to those on the Upper Mississippi and the Upper Lakes. Several parties of our citizens have been plundered and murdered by those tribes. In order to establish relations of friendship with them, Congress at the last session made an appropriation for treaties with them and for the employment of a suitable military escort to accompany and attend the commissioners at the places appointed for the negotiations. This object has not been effected. The season was too far advanced when the appropriation was made and the distance too great to permit it, but measures have been taken, and all the preparations will be completed to accomplish it at an early period in the next season.

Believing that the hostility of the tribes, particularly on the Upper Mississippi and the Lakes, is in no small degree owing to the wars which are carried on between the tribes residing in that quarter, measures have been taken to bring about a general peace among them, which, if successful, will not only tend to the security of our citizens, but be of great advantage to the Indians themselves.

With the exception of the tribes referred to, our relations with all the others are on the same friendly footing, and it affords me great satisfaction to add that they are making steady advances in civilization and the improvement of their condition. Many of the tribes have already made great progress in the arts of civilized life. This desirable result has been brought about by the humane and persevering policy of the Government, and particularly by means of the appropriation for the civilization of the Indians. There have been established under the provisions of this act 32 schools, containing 916 scholars, who are well instructed in several branches of literature, and likewise in agriculture and the ordinary arts of life.