You can get your birth certificate by contacting your home country's consulate.
Find a consulate
You can get a Social Security card if you are a lawfully admitted non-citizen. You will need to show some documents to prove your immigration status.
If you cannot get a Social Security card because of your immigration status, you can still get a non-driver State ID. You can get a letter from the Social Security Administration that explains why you cannot get a Social Security card. This letter will take the place of an actual Social Security card. Call 1-800-772-1213 for help getting this letter.
You can get a non-driver State ID if you can show proof of identity, valid immigration documentation and New York State residence. You can use documents that show your immigration status to accumulate the 4 points of proof.
Learn which documents are worth points