N.Y. Comp. Codes R. & Regs. tit. 20, § 120.6
(2) Where such ordinary income portion (or part thereof) of a lump sum distribution is not subject to separate income taxation by such other taxing jurisdiction, but is included as income in determining the income tax imposed by such jurisdiction, the portion of such income tax which constitutes the income tax imposed on the ordinary income portion (or part thereof) of a lump sum distribution is determined by multiplying the entire income tax payable to the other taxing jurisdiction by a fraction, the numerator of which is the ordinary income portion (or part thereof) of the lump sum distribution included in the income subject to tax by such jurisdiction and the denominator of which is all the income subject to such tax by such jurisdiction. See sections 120.1 through 120.5 of this Part for the resident credit allowable against ordinary tax for the balance of the income tax imposed by such other taxing jurisdiction which does not constitute the income tax imposed on the ordinary income portion (or part thereof) of a lump sum distribution.
(c) Method of claiming credit.
(1) If a resident individual, estate or trust claims a credit under this section for income taxes imposed by another jurisdiction (determined in accordance with the provisions of subdivision [b] of this section), a completed New York State credit claim form must be attached to the New York State personal or fiduciary income tax return filed for the taxable year.
(2)
(3) If both a state (other than New York State) and one or more of the political subdivisions of such state impose income taxes on the same or different amounts of the ordinary income portion (or part thereof) of a lump sum distribution derived from sources within such state and one or more of its political subdivisions, the sum of such income taxes imposed by the state and its political subdivisions (determined in accordance with the applicable provisions of subdivision [b] of this section) must be reported on a single credit claim form. The single credit claim form must be filed with the taxpayer's New York State personal or fiduciary income tax return.
(d) Limitations.
The amount of credit against the separate tax on the ordinary income portion (or part thereof) of a lump sum distribution for income taxes imposed by another jurisdiction on such income is subject to the three limitations provided in paragraphs (1), (2) and (3) of this subdivision. Where credit is claimed against such separate tax for income taxes imposed on the ordinary income portion (or part thereof) of a lump sum distribution by two or more taxing jurisdictions as defined in paragraph (2) of subdivision (b) of this section, these three limitations must be applied separately to each jurisdiction for each credit being claimed. See subdivision (e) of this section for the limitations in cases where such credit is claimed for income taxes imposed by both a state and one or more of its political subdivisions on the ordinary income portion (or part thereof) of a lump sum distribution.
(3) The credit allowable under this section cannot reduce the separate tax due under section 603 of the Tax Law to an amount less than would have been due if the part of the ordinary income portion of the lump sum distribution taxable both under section 603 of the Tax Law and by such other jurisdiction were excluded from the computation of the separate tax due under such section.
(e) Limitations where credit is claimed under this section for income taxes paid to both a state and also to one or more of its political subdivisions.
Where both a state and one or more of its political subdivisions impose income taxes on the same or different amounts of a resident taxpayer's ordinary income portion (or part thereof) of a lump sum distribution derived from sources within such state and political subdivision (which income is also subject to the separate tax under section 603 of the Tax Law), the maximum credit allowable is the lowest of the amounts determined after computing the following three limitations:
Tax Law, § 620-A
(a) General.
A resident individual, estate or trust is entitled to a credit under this section against the separate tax imposed by section 603 of the Tax Law on the ordinary income portion (or part thereof) of a lump sum distribution. This credit is allowable with respect to any income tax imposed for the taxable year by another state of the United States, a political subdivision of such state, the District of Columbia, or a province of Canada on such ordinary income portion (or part thereof) of a lump sum distribution which is derived from a business, trade, profession, occupation or from personal services as an employee within such taxing jurisdiction and is subject to tax under section 603 of the Tax Law. (See subdivision [b] of this section for the determination of income tax imposed by another jurisdiction.) However, no credit is allowable under this section if no income tax is actually due to the other jurisdiction with respect to the ordinary income portion (or part thereof) of a lump sum distribution. Further, no credit is allowable if the other jurisdiction provides an exemption of its income tax on the ordinary income portion (or part thereof) of a lump sum distribution to a New York State resident subject to the New York State separate tax on such income.
(b) Determination of income tax imposed by another jurisdiction.