Is legal to sent out no renewal of lease on New York

[Elisa Lisa p]

Hi all, is it legal to sent out no renewal of lease for a tenant that I had for 4 years. She is paying rent late on the 6-8th of every month. Only pay late fee when I ask her to. 

What I search is I need to give her 90 days notice and let her know I am not renewing her lease. She got new job in past two year that’s working on politics office. Like local senator office for some distric manager.  One time we had some issues she mention she will reach out to her senator to ask. I told her I will reach out to my senator too. Altho nothing happens, That doesn’t make me very happy.