NY State Unemployment processes most claims with out any issues. Generally, Unemployment Insurance will pay your first payment in two to three weeks.You can get assistance with: Eligibility; Required documentation; Filing claims; Denials; Checking payment status; Updating personal information. Certify for weekly benefits. To submit this form, you can apply online through the NYS Department of Labor website or call 1-888-209-8124 for assistance. A video resource for those applying for New York State Unemployment Insurance during the COVID-19 pandemic. You have filed for unemployment benefits and your claim has been denied. Our Volunteer Lawyers Can Help. You have filed for unemployment benefits and your claim has been denied. Introduction. This guide provides important information about your Unemployment Insurance (UI) Benefits.