Under the provisions of the New York Constitution of 1777, the state senators were elected on general tickets in the senatorial districts, and were then divided into four classes.

On February 7, 1791, the Legislature re-apportioned the Senate and Assembly districts, according to the figures of the 1790 United States census.

Pierre Van Cortlandt were re-elected to a sixth term after the Canvass Committee[2] rejected the votes of Otsego, Clinton and Tioga counties on technicalities.

Both Houses met at Federal Hall in New York City; assembled a quorum on November 6, 1792; and adjourned on March 12, 1793.

On November 20, 1792, the legislature chose 12 presidential electors: William Floyd, Samuel Osgood, Edward Savage, Stephen Ward, John Bay, Jesse Woodhull, David Van Ness, Johannes Bruyn, Volkert Veeder, Abraham Yates Jr., Samuel Clark and Abraham Ten Eyck.

The Federalists voted against this, supporting the claim of Thomas Jenkins, the Federalist candidate who had lost the election after the rejection of the ballots from Clinton County, affirming that under the Constitution it was the right and duty of the Senate to revise the decision of the Canvass Committee concerning the election of senators.