My husband and I are unable to have children and I have been thinking a lot about adoption. The problem is that my husband got a misdemeanor a few years ago and I am wondering if this would make us ineligible?

It may depend on what the misdemeanor was for, if he was a minor at the time and your state laws.
Check your possibilities for taking care of the misdemeanor before going for any adoption.
This might give you an idea of possibilties you can check into.

Berkeley Parents Network: Will my misdemeanor charge prevent me from adopting?