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Sadly, I have no idea as to what score Ally's credit issuers will require you to have to be eligible for one of their cards. What I can tell you is that there are several additional factors that will also determine your credit worthiness. In my hones opinion, I would recommend applying for the card if your credit score is in the fair range. If it's not, there's no need to worry. There are many credit cards that are created to help people raise their credit score. If your credit score is not where it needs to be, you can apply for one of these cards and use it to bring your credit score back to a place where you want it to be.