Since there is no New York state law two weeks notice requirement, employers do not have to guarantee employment to their workers. NLRB General Counsel Continues Challenge to Non-Compete Agreements, Announces Position on Sign-On Bonuses and Other "Stay-or-Pay" Provisions.It sounds like the agreement requires you to give the employer at least 30 days notice if the employer seeks to terminate your employment. The Act permits employers to reduce this notice period upon showing that a statutory exception applies. Under atwill employment, HR can terminate employees without needing proof or a reason. This means they may end employment at any time. I am planning to resign from my current job soon. My employment agreement states I must give 30 days notice, but does not specify any penalties if I don't. Your employer is obliged to give you one week's notice after one month, and for the following two years. If your employment contract does not specify your notice period, you should give at least a week's notice before leaving your role.