The 172nd New York State Legislature, consisting of the New York State Senate and the New York State Assembly, met from January 7, 1959, to April 1, 1960, during the first and second years of Nelson Rockefeller's governorship, in Albany.

Under the provisions of the New York Constitution of 1938, re-apportioned in 1953, 58 Senators and 150 assemblymen were elected in single-seat districts for two-year terms. The senatorial districts consisted either of one or more entire counties; or a contiguous area within a single county. The counties which were divided into more than one senatorial district were Kings (nine districts), New York (six), Queens (five), Bronx (four), Erie (three), Nassau (three), Westchester (three), Monroe (two) and Onondaga (two). The Assembly districts consisted either of a single entire county (except Hamilton Co.), or of contiguous area within one county.

At this time there were two major political parties: the Republican Party and the Democratic Party. The Liberal Party and the Independent-Socialist Party also nominated tickets.

The New York state election, 1958, was held on November 4. Nelson Rockefeller was elected Governor, and Assemblyman Malcolm Wilson was elected Lieutenant Governor, both Republicans, defeating the incumbent Democrats W. Averell Harriman and George B. DeLuca. The elections of the other four statewide elective offices resulted in a Democratic State Comptroller with Liberal endorsement, a Republican Attorney General, a Democratic Court of Appeals judge with Liberal and Republican endorsement, and a Republican U.S. Senator. The approximate party strength at this election, as expressed by the vote for Governor/Lieutenant Governor, was: Republicans 3,127,000; Democrats 2,270,000; Liberals 284,000; and Independent-Socialists 32,000.

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