The Report of Mr. GRAHAM, Secretary of the Navy, is also brief, and gives an account of the six different squadrons into which the naval force in commission is divided. The Secretary remarks that occasional instances of British interference with vessels bearing our flag on the African coast have occurred, but that in each case explanations and apologies have been made to our officers on that station, and the reports thereof transmitted to the Government. The existing _personnel_ of the Navy embraces 68 captains, 97 commanders, 327 lieutenants, 111 surgeons, 43 assistant surgeons, 64 pursers, 24 chaplains, 12 professors of mathematics, 11 masters in the line of promotion, 464 passed and other midshipmen, and 7500 petty officers, seamen, landsmen, boys, etc. The Secretary says that this system of officers is unshapely and disproportioned, there being great disparity between the head and the subordinate parts, and he recommends a great reduction in the three highest grades. The report discusses other questions respecting the organization and distribution of the service. The Secretary notices the improvements going on in the Navy Yards in New York and other places; states that he has invited proposals for the construction of a Dry Dock in the Pacific; says that the stores on hand in the various yards amount to $6,500,000. A reduction of the number of yards is discussed. The Secretary says that our flag has been respected on every sea, and that the interests of commerce have been secure under its protection. The Navy consists of 7 ships of the line, 1 razee, 12 frigates, 21 sloops of war, 4 brigs, 2 schooners, 6 steam frigates, 3 steamers of the first class, 6 steamers of less than first class, and 5 store ships. The ships in commission are one razee, 6 frigates, 15 sloops of war, 4 brigs, 2 schooners (coast survey), 2 steam frigates, 1 steamer of the first class, 3 less than first class, 3 ships of the line as receiving ships, 1 steamer do., and one sloop do. Four ships of the line and two frigates are on the stocks in process of construction, but the work suspended. Besides these, there are the mail steamships on the New York and Liverpool and New York and Chagres lines, liable to naval duty in case of necessity.