[From the National Intelligencer, of Feb. 18.]

On Tuesday at 12 o'clock the 35th ballot was taken; the result the same with that of the preceding ballots.

At one o'clock the 36th ballot was taken which issued in the election of Thomas Jefferson.

On this ballot there were,

Ten States for Mr. Jefferson, viz: Vermont, New York, New Jersey, Pennsylvania, Maryland, Virginia, North Carolina, Georgia, Kentucky, and Tennessee.

Four States for Mr. Burr, viz: Rhode Island, New Hampshire, Connecticut, and Massachusetts.

Two States voted by blank ballots, viz: Delaware and South Carolina.

In the instance of Vermont, Mr. Morris withdrew.

In that of South Carolina, Mr. Huger, who is understood previously uniformly to have voted for Mr. Jefferson, also withdrew, from a spirit of accommodation, which enabled South Carolina to give a blank vote.

And in the instance of Maryland, four votes were for Jefferson and four blank.