On the 3d of September the Senate proceeded to the consideration of the bill abolishing the Slave-trade in the District of Columbia. Mr FOOTE of Mississippi offered a substitute placing the control of the whole matter in the hands of the Corporate Authorities of Washington and Georgetown. To this Mr. PEARCE of Maryland, in committee of the whole, moved an amendment punishing by fine and imprisonment any person who shall induce or attempt to induce slaves to run away, and giving the corporate authorities power to remove free negroes from the District. The first portion of the amendment was passed, ayes 26, nays 15, and the second ayes 24, nays 18. Mr. FOOTE then withdrew his substitute.—On the 10th the consideration of the bill was resumed. Mr. SEWARD moved to substitute a bill abolishing Slavery in the District of Columbia and appropriating $200,000 to indemnify the owners of slaves who might thus be enfranchised—the claims to be audited and adjusted by the Secretary of the Interior: and submitting the law to the people of the District. The amendment gave rise to a warm debate and on the 12th was rejected, ayes 5, nays 46. The amendments offered by Mr. PEARCE, and passed in committee of the whole, were non-concurred in by the Senate on the 14th, and the bill on the same day was ordered to be engrossed for a third reading, by a vote of 32 to 19. On the 16th it was read a third time and finally passed, ayes 33, nays 19, as follows: AYES.—Messrs. Baldwin, Benton, Bright, Cass, Chase, Clarke, Clay, Cooper, Davis of Mass., Dayton, Dickinson, Dodge of Wisconsin, Dodge of Iowa, Douglas, Ewing, Felch, Frémont, Greene, Gwin, Hale, Hamlin, Houston, Jones, Norris, Seward, Shields, Spruance, Sturgeon, Underwood, Wales, Walker, Whitcomb, and Winthrop—33. NAYS.—Messrs. Atchison, Badger, Barnwell, Bell, Berrien, Butler, Davis of Mississippi, Dawson, Downs, Hunter, King, Mangum, Mason, Morton, Pratt, Sebastian, Soulé, Turney, and Yulee—19. It was taken up in the House of Representatives on the 15th and passed by a vote of 124 to 47.