WASHINGTON, September 21, 1863. 12.55 PM.

MAJOR-GENERAL ROSECRANS, Chattanooga:

Be of good cheer. We have unabated confidence in you, and in your soldiers and officers. In the main you must be the judge as to what is to be done. If I were to suggest, I would say, save your army by taking strong positions until Burnside joins you, when, I hope, you can turn the tide. I think you had better send a courier to Burnside to hurry him up. We cannot reach him by telegraph. We suppose some force is going to you from Corinth, but for want of communication we do not know how they are getting along. We shall do our utmost to assist you. Send us your present positions.

A. LINCOLN. [ [!-- H2 anchor --] ]

TELEGRAM TO GENERAL W. S. ROSECRANS.

[Cipher.]

WAR DEPARTMENT, September 22, 1863.8.30 A.M.

MAJOR-GENERAL ROSECRANS, Chattanooga, Tenn.:

We have not a word here as to the whereabouts or condition of your army up to a later hour than sunset, Sunday, the 20th. Your despatches to me of 9 A.M., and to General Halleck of 2 P. M., yesterday, tell us nothing later on those points. Please relieve my anxiety as to the position and condition of your army up to the latest moment.

A. LINCOLN. [ [!-- H2 anchor --] ]