Great question! My question to you would be how do you know that you have no credit score? Some bills that you pay may show up on your credit even if they are not installment loans, credit cards or mortgages. The electric company in Greater New Haven, United Illuminating or UI reports payments to the credit bureau.
Credit history is something that you should build if you really have no history. Easiest way is through a credit card or car loan.
You can also buy a home with owner financing but they are hard to find. Your best way to find out about your credit is to talk to a lender to see if you can get pre-approved. They can do a credit check which should not hurt your credit if you have not done it too many times recently such as two years.
Hope this helps,
Carbutti and Co Realtors
If you need any assistance finding a home, feel free to contact me firstname.lastname@example.org