N.Y. Comp. Codes R. & Regs. tit. 9, § 1627-7.2
(a) In addition to income eligibility, an authority may establish standards for use in approving eligibility for admission or continued occupancy of a household in any authority project. Such standards shall include that the household will not, or does not, constitute:
(b) An authority may admit or continue the tenancy of a household which might otherwise be ineligible under subdivision (a) of this section due to behavior that does not result in a criminal conviction if:
(c) In determining a household’s eligibility for admission or continued occupancy, an authority may give consideration to a household member’s criminal convictions that involved physical violence to persons or property or that adversely affected the health, safety and welfare of other people. The authority may not reject an applicant or remove a tenant based solely on that fact that a household member has such a conviction(s) but must conduct an individualized assessment of each household member who has such convictions, taking into account:
(5) where termination of continued occupancy is considered, the effects that termination of occupancy would have on household members who do not have convictions.
If, after conducting this assessment, the authority determines that the household is not eligible for tenancy, it must be able to articulate its reasoning with specificity. The authority shall communicate its decision to the household, together with the reasons for its determination.
(d) Notwithstanding subdivision (c) of this section, household members with the following convictions shall be ineligible for occupancy in an authority project: