WASHINGTON, Tuesday, May 9.

President JOHNSON has issued a proclamation, declaring that, whereas armed resistance to the authority of the government in certain States heretofore declared to be in insurrection, may be regarded as virtually at an end, and the persons by whom that resistance as well as the operations of the insurgent cruisers were directed, are fugitives of captives; and, whereas, it is understood that certain cruisers are are still infesting the high seas, and others are preparing to capture, burn and destroy vessels of the United States, he enjoins all naval, military and civil officers of the United States diligently to endeavor by all lawful means to arrest the said cruisers and to bring them into a port of the United States, in order that they may be prevented from committing further depredations on commerce, and that the persons on board of them may no longer enjoy immunity for their crimes; and he further proclaims and declares that if, after a reasonable time shall have elapsed for this proclamation to become known in the ports of nations claiming to have been neutral, the said insurgent cruisers and the persons on board of them shall continue to receive hospitality in the said ports, this government will deem itself justified in refusing hospitality to the public vessels of such nations in ports of the United States, and in adopting such other measures as may be deemed advisable toward vindicating the national sovereignty.

The President has also issued an executive order to reestablish the authority of the United States and execute the laws within the geographical limits known as the State of Virginia. It is ordered that all acts and proceedings of the political, military and civil organizations which have been in a state of insurrection and rebellion within the State of Virginia against the authority and laws of the United States, and of which JEFFERSON DAVIS, JOHN LETCHER and WILLIAM SMITH were late the respective chiefs, are declared null and void.

All persons who shall exercise, claim, pretend or attempt to exercise any political, military or civil power, authority, jurisdiction or right, by, through or under JEFFERSON DAVIS, late of the City of Richmond, and his confidants, or under JOHN LETCHER or WILLIAM SMITH, and their confidants, or under any pretended political, military or civil commission or authority issued by them or of them, since the 17th day of April, 1861, shall be deemed and taken as in rebellion against the United States, and shall be dealt with accordingly.

The Secretaries of State, War, Treasury, Navy and Interior, and the Postmaster-General, are ordered to proceed to put in force all laws of the United States pertaining to their several departments, and the District Judge of said district to proceed to hold courts within said States in accordance with the provisions of the acts of Congress. The Attorney-General will instruct the proper officers to libel and bring to judgment, confiscation and sale, property subject to confiscation and enforce the administration of justice within said State, in all matters civil and criminal within the cognizance of the Federal courts; to carry into effect the guarantee of the Federal Constitution of a republican form of State Government, and afford the advantage and security of domestic laws, as well as to complete the reestablishment of the authority of the laws of the United States, and the full and complete restoration of peace within the limits aforesaid. FRANCIS H. PIERPONT, Governor of the State of Virginia, will be aided by the Federal Government so far as may be necessary in the lawful measures which he may take for the extension and administration of the State Government throughout the geographical limits of said State.