The list of New York Times staff members who have made their e-mail addresses public is found at the link below.  The list changes often so always check it before sending them e-mails.

If you don't get an immediate response, please keep in mind that reporters and editors devote most of their working hours to producing the newspaper, and the time they have to answer e-mail is limited.

If the person you want to reach is not listed, he or she either does not have e-mail or does not make the address public. You can reach most Times employees by writing to The New York Times, 229 West 43rd Street, New York, New York 10036.

http://www.nytimes.com/ref/membercenter/help/infoservdirectory.html