COLONEL: I have the honor to acknowledge the receipt of my letter requesting a court of inquiry, with the remarks of Maj. Gen. T. J. Jackson, and the endorsement of the general commanding, crediting the truth of the charges, and refusing the court.

I respectfully say to the general that I deny the truth of every allegation made by Major-General Jackson, and am prepared to prove my denial by any number of honorable men, including members of General Jackson's own staff. If General Jackson had accorded me the courtesy of asking an explanation of each instance of neglect of duty as it occurred, I think that even he would have been satisfied, and the necessity avoided of keeping a black-list against me. It is hardly necessary to remark that these charges made by General Jackson are of a serious character, involving my reputation and standing as an officer commanding a division of this army, and, if true, I should be deprived of the command if untrue, then censure should be passed upon the officer who abuses his authority to punish, and then sustains his punishment by making loose charges against an officer who has done and is doing his utmost to make his troops efficient.

I again respectfully reiterate my request for a court of inquiry, to involve the matter of these additional allegations, and ask that a speedy answer be given me.

I am, sir, very respectfully, your obedient servant, A. P. HILL, Major-General, Commanding Division.

P. S.--To show the spirit dictating the endorsement of General Jackson, I instance: "Instead of General H. being with his troops, I found him at his headquarters, apparently just up." My headquarters had been at the place General J. saw me that morning, which was on the road, and not 100 yards from my leading brigade, but, unfortunately for the truth of his conclusions, they were moved the day before. I had breakfasted that morning at 2 o'clock, and, when General J. saw me, had ridden with my escort from my headquarters to where he saw me, some three.fourths of a mile.