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Technically the phrase "presidential veto" does not appear in the Constitution, but Article I requires every bill, order, resolution or other act of legislation by Congress to be presented to the President for his approval. When the President is presented a bill, he can either sign it into law, return the bill to the originating house of Congress with his objections to the bill (a veto), or do nothing, in which case ten days later (exempting Sundays) the bill becomes a law if Congress is still in session. Otherwise, the bill does not become a law and is considered a pocket veto.
Washington vetoed only two bills. The first, on April 5, 1792 was a veto of the Apportionment Act. That Act was a proposed law that would have fixed the size of the United States House of Representatives based on the United States Census of 1790. The bill was vetoed by President Washington because he believed it to be unconstitutional. Washington made two objections in a letter he wrote to the House. His first objection was that the bill did not have a uniform ratio to reach the numbers of representatives to population set forth in the bill. Secondly, the bill "allotted to eight of the States more than one for every thirty thousand" as required by Article I Section II of the Constitution.
The next day, the House attempted to override the President's veto but failed to reach the two thirds vote required.