Can I apply for my husband a green card and how would I do that?

You need to schedule a consultation with an attorney as you husband will probably need waivers. This is assuming that he does not trigger the permanent bar. His case appears to be complex and warrants closer examination.

Your question requires an attorney consultation. It is not a simple question that can be answered on this type of forum. There are many factors that would need to be considered and evaluated. How did he enter the U.S. Did he enter with a visa or without inspection? What was the misdemeanor charge. I strongly suggest that you contact an experienced immigration attorney for a face-to-face consultation and give him/her all of the facts surrounding your husband's situation. (S)he would then be in a better position to analyze his case, advise you of your options and, if possible, make sure that the necessary paperwork and documentation is properly presented so as not to delay the process.