2006 New York Code - Terms Of Office.

 
    § 13. Terms  of  office.  The term of office of each elective officer,
  unless elected to fill a vacancy then existing, shall  commence  on  the
  first day of January next succeeding his election. The term of office of
  each  appointive  officer  shall  commence  on  the  day  succeeding his
  appointment unless a different date is specified in the  certificate  of
  appointment. The term of office of the mayor, comptroller, treasurer and
  president  of  the common council shall be two years. The term of office
  of alderman and supervisor shall be two years. The term of office of the
  assessors shall be four years, except that at the  city  election  first
  held  in  the city after the same shall have become a city of the second
  class and the provisions of this chapter relating to the election of its
  officers shall have become applicable  thereto,  two  of  the  assessors
  shall  be  elected  for  a  term of two years and two for a term of four
  years. The term of office of the  corporation  counsel,  city  engineer,
  commissioner of public works and sealer of weights and measures shall be
  two years, unless sooner removed by the mayor. The term of office of the
  commissioner  of  public  welfare shall be five years. Where the term of
  office of an appointive officer is not specifically fixed by statute  it
  shall  be  deemed  to  continue only during the pleasure of the officer,
  officers, board or body authorized to make the appointment.