2016 New York Laws
DOM - Domestic Relations
Article 3 - (Domestic Relations) Solemnization, Proof and Effect of Marriage
12 - Marriage, how solemnized.

  12.    Marriage, how solemnized.  No particular form or ceremony is
  required when a marriage is solemnized as herein provided by a clergyman
  or magistrate, but the parties must solemnly declare in the presence  of
  a  clergyman  or  magistrate and the attending witness or witnesses that
  they take each other as husband and wife.  In every case, at  least  one
  witness  beside  the  clergyman  or  magistrate  must  be present at the
  ceremony.
The preceding provisions of this chapter, so far as they relate to the
  manner of solemnizing marriages, shall not affect  marriages  among  the
  people  called friends or quakers; nor marriages among the people of any
  other denominations having as such any particular  mode  of  solemnizing
  marriages;   but  such  marriages  must  be  solemnized  in  the  manner
  heretofore  used  and  practiced  in  their  respective   societies   or
  denominations,  and marriages so solemnized shall be as valid as if this
  article had not been enacted.