Alien husband denied entry into U.S. because of crime committed more than 10 years ago procedure for applying for status

The section of law you cite deals with crimes involving moral turpitude, and you really, really need to consult an immigration attorney to guide you through this.

How big a problem this is depends on many factors not stated in your question - you and your husband's current immigration status (and any children), how old your husband was when the crime was committed, how much longer ago than ten years the crime was committed, the crime that was involved (the actual code section of the state or federal or foreign entity criminal law involved and the potential penalties for that crime, whether controlled substances were involved such that other sections of law were implicated, etc.

It isn't clear based on the information presented whether your husband could be brought back, or if he can be whether a case for waiver exists, and if it does what that case would involve (and so what documents would be needed). Again, speak with a lawyer on this.