If your name has legally changed since the issuance of your Permanent Resident Card (green card), use your new legal name on Form I-90. However, check “Yes” when asked if your name has been legally changed and answer the follow up questions. Your new green card will be issued in your new legal name.
You will be required to submit a copy of the original court order reflecting your name or a copy of your original marriage certificate, divorce decree, birth certificate, adoption decree, passport or applicable court documents, etc. Legal name change documents submitted as evidence of a name change must have been registered with the proper civil authority.