The President of the French Republic, according to the provisions of the convention, has been selected as arbiter in the case of the General Armstrong, and has signified that he accepts the trust and the high satisfaction he feels in acting as the common friend of two nations with which France is united by sentiments of sincere and lasting amity.

The Turkish Government has expressed its thanks for the kind reception given to the Sultan's agent, Amin Bey, on the occasion of his recent visit to the United States. On the 28th of February last a dispatch was addressed by the Secretary of State to Mr. Marsh, the American minister at Constantinople, instructing him to ask of the Turkish Government permission for the Hungarians then imprisoned within the dominions of the Sublime Porte to remove to this country. On the 3d of March last both Houses of Congress passed a resolution requesting the President to authorize the employment of a public vessel to convey to this country Louis Kossuth and his associates in captivity.

The instruction above referred to was complied with, and the Turkish Government having released Governor Kossuth and his companions from prison, on the 10th of September last they embarked on board of the United States steam frigate Mississippi, which was selected to carry into effect the resolution of Congress. Governor Kossuth left the Mississippi at Gibraltar for the purpose of making a visit to England, and may shortly be expected in New York. By communications to the Department of State he has expressed his grateful acknowledgments for the interposition of this Government in behalf of himself and his associates. This country has been justly regarded as a safe asylum for those whom political events have exiled from their own homes in Europe, and it is recommended to Congress to consider in what manner Governor Kossuth and his companions, brought hither by its authority, shall be received and treated.

It is earnestly to be hoped that the differences which have for some time past been pending between the Government of the French Republic and that of the Sandwich Islands may be peaceably and durably adjusted so as to secure the independence of those islands. Long before the events which have of late imparted so much importance to the possessions of the United States on the Pacific we acknowledged the independence of the Hawaiian Government. This Government was first in taking that step, and several of the leading powers of Europe immediately followed. We were influenced in this measure by the existing and prospective importance of the islands as a place of refuge and refreshment for our vessels engaged in the whale fishery, and by the consideration that they lie in the course of the great trade which must at no distant day be carried on between the western coast of North America and eastern Asia.

We were also influenced by a desire that those islands should not pass under the control of any other great maritime state, but should remain in an independent condition, and so be accessible and useful to the commerce of all nations. I need not say that the importance of these considerations has been greatly enhanced by the sudden and vast development which the interests of the United States have attained in California and Oregon, and the policy heretofore adopted in regard to those islands will be steadily pursued.

It is gratifying, not only to those who consider the commercial interests of nations, but also to all who favor the progress of knowledge and the diffusion of religion, to see a community emerge from a savage state and attain such a degree of civilization in those distant seas.

It is much to be deplored that the internal tranquillity of the Mexican Republic should again be seriously disturbed, for since the peace between that Republic and the United States it had enjoyed such comparative repose that the most favorable anticipations for the future might with a degree of confidence have been indulged. These, however, have been thwarted by the recent outbreak in the State of Tamaulipas, on the right bank of the Rio Bravo. Having received information that persons from the United States had taken part in the insurrection, and apprehending that their example might be followed by others, I caused orders to be issued for the purpose of preventing any hostile expeditions against Mexico from being set on foot in violation of the laws of the United States. I likewise issued a proclamation upon the subject, a copy of which is herewith laid before you. This appeared to be rendered imperative by the obligations of treaties and the general duties of good neighborhood.

In my last annual message I informed Congress that citizens of the United States had undertaken the connection of the two oceans by means of a railroad across the Isthmus of Tehuantepec, under a grant of the Mexican Government to a citizen of that Republic, and that this enterprise would probably be prosecuted with energy whenever Mexico should consent to such stipulations with the Government of the United States as should impart a feeling of security to those who should invest their property in the enterprise.

A convention between the two Governments for the accomplishment of that end has been ratified by this Government, and only awaits the decision of the Congress and the Executive of that Republic.

Some unexpected difficulties and delays have arisen in the ratification of that convention by Mexico, but it is to be presumed that her decision will be governed by just and enlightened views, as well of the general importance of the object as of her own interests and obligations.