With the report from the Postmaster-General is exhibited a comparative view of the gradual increase of that establishment, from five to five years, since 1792 till this time in the number of post-offices, which has grown from less than 200 to nearly 8,000; in the revenue yielded by them, which from $67,000 has swollen to upward of a million and a half, and in the number of miles of post-roads, which from 5,642 have multiplied to 114,536. While in the same period of time the population of the Union has about thrice doubled, the rate of increase of these offices is nearly 40, and of the revenue and of traveled miles from 20 to 25 for 1. The increase of revenue within the last five years has been nearly equal to the whole revenue of the Department in 1812. The expenditures of the Department during the year which ended on the 1st of July last have exceeded the receipts by a sum of about $25,000. The excess has been occasioned by the increase of mail conveyances and facilities to the extent of near 800,000 miles. It has been supplied by collections from the postmasters of the arrearages of preceding years. While the correct principle seems to be that the income levied by the Department should defray all its expenses, it has never been the policy of this Government to raise from this establishment any revenue to be applied to any other purposes. The suggestion of the Postmaster-General that the insurance of the safe transmission of moneys by the mail might be assumed by the Department for a moderate and competent remuneration will deserve the consideration of Congress. A report from the commissioner of the public buildings in this city exhibits the expenditures upon them in the course of the current year. It will be seen that the humane and benevolent intentions of Congress in providing, by the act of 20th May, 1826, for the erection of a penitentiary in this district have been accomplished. The authority of further legislation is now required for the removal to this tenement of the offenders against the laws sentenced to atone by personal confinement for their crimes, and to provide a code for their employment and government while thus confined. The commissioners appointed, conformably to the act of 2d March, 1827, to provide for the adjustment of claims of persons entitled to indemnification under the first article of the treaty of Ghent, and for the distribution among such claimants of the sum paid by the Government of Great Britain under the convention of 13th of November, 1826, closed their labors on the 30th of August last by awarding to the claimants the sum of $1,197,422.18, leaving a balance of $7,537.82, which was distributed ratably amongst all the claimants to whom awards had been made, according to the directions of the act.