WASHINGTON, November 25, 1863-8.40 a.m.

Your dispatches as to fighting on Monday and Tuesday are here. Well done. Many thanks to all. Remember Burnside.

A. LINCOLN,

President United States.

Major General U. S. GRANT.

WAR DEPARTMENT,

Washington, November 25, 1863-11.30 a.m.

I congratulate you on the success thus far of your plans. I fear that General Burnside is hard pressed and that any further delay may prove fatal. I know that you will do all in your power to relieve him.

H. W. HALLECK,

General-in-Chief.

Major-General GRANT,

Chattanooga, Tennessee

CHATTANOOGA, Tennessee, November 25, 1863-7.15. p.m.

(Received 10 p.m)

Although the battle lasted from early dawn till dark this evening, I believe I am not premature in announcing a complete victory over Bragg. Lookout Mountain top, all the rifle-pits in Chattanooga Valley, and Missionary Ridge entire have been carried, and now held by us. I have no idea of finding Bragg here to-morrow.

U. S. GRANT,

Major-General, Commanding.

Major General H. W. HALLECK,

General-in-Chief.

CHATTANOOGA, Tennessee, November 25, 1863-7.30 p.m.

(Received 2.10 a.m., 26th.)

I have heard from Burnside to the 23d, when he had rations for ten or twelve days. He expected to hold out that time. I shall move the force from here on the railroad between Cleveland and Dalton, and send a column of 20,000 men up the south side of the Tennessee, without wagons, carrying four days' rations and taking a steam-boat loaded with rations, from which to draw on the route.

If Burnside holds out until this force gets beyond Kingston, I think enemy will fly, and, with the present state of the roads, must abandon almost everything. I believe Bragg will lose much of his army by desertion, in consequence of his defeat in the last three days' fight.

U. S. GRANT,

Major-General, Commanding.

Major General H. W. HALLECK,

General-in-Chief.