You can consider applying for a credit card for people with limited or no credit history. You can be approved even if you do not have any credit history. Another option for you is a secured credit card. You will need to put down a minimum security deposit of around $200 to get such card. But secured cards usually have lower rates and fees, and some come without credit check. Your credit activity will be reported to the major credit bureaus, so you will be able to build your credit.
Disclaimer: This editorial content is not provided or commissioned by the credit card issuer(s). Opinions expressed here are the author's alone, not those of the credit card issuer(s), and have not been reviewed, approved or otherwise endorsed by the credit card issuer(s). Reasonable efforts are made to present accurate information, however all information is presented without warranty. Consult a card's issuing bank for the terms & conditions.
All rates and fees, and other terms and conditions of the products mentioned in this article/post are actual as of the last update date but are subject to change. See the current products' Terms & Conditions on the issuing banks' websites.