N.Y.C. Charter § 256: Section 256. Appropriation, certification and publication.

Not later than the day after the budget is finally adopted, the budget as finally adopted in such year shall be certified by the mayor, the comptroller and the city clerk as the budget for the ensuing fiscal year, and the several amounts therein specified as appropriations or units of appropriation shall be and become appropriated to the several purposes therein named, whether payable from the tax levy or otherwise and subject to the terms and conditions of the budget. The budget shall thereupon be filed in the offices of the comptroller and the city clerk, and shall be published forthwith. When finally adopted in accordance with sections two hundred fifty-four and two hundred fifty-five, such budget as adopted and as modified during the fiscal year in accordance with sections one hundred seven and two hundred sixteen shall have the force of law.