Michelle, the answer is yes assuming that you meet other criteria for income, debt-to-income, assets. work history etc. But you will not qualify under the most favorable terms. FHA will insure mortgages for buyers with lower scores than yours, but almost all lenders will require 10% down instead of 3.5%, limit gift money and seller contribution toward your closing costs and charge a higher interest rate.
Generally speaking, the higher your FICO, the better your options. But 640 is the minimum mid score that most lenders require for FHA under favorable terms. You may be surprised to learn that you can see dramatic improvements in your credit scores in as little as 30-45 days in some cases. I've worked with many buyers over the last 6 years who started with low credit scores and later became successful homeowners by following my free guidance. I would welcome an opportunity to help you do the same. For more info, call me directly at 917.699.0183 or email firstname.lastname@example.org.
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Senior Mortgage Banker
The Federal Savings Bank
Direct Lender. All 50 States