can my husband ,father of four America citizens children and eight grandchildren come back to USA

The question is why your husband was deported. If for certain crimes, he would not be eligible to return. The same would apply if he was a recidivist who continually broke the immigration laws in going in and out of the country. If those do not apply, and if you are a US citizen or permanent resident, you or one of the American citizen children over the age of 21 could petition for him (I will assume that one or more of the grandchildren is from one of the US citizen children and that at least one of the children is over the age of 21), have the petition approved, and he would later interview at the American consulate in his home country. He would be denied and he could then begin the process of applying for a waiver of the 10 year bar for having remained in the US for one year illegally (form I-601) and for advance permission to enter the US after deportation (form I-212).  Due to the limitations of the Lawyers.com Forums, Alan Lee, Esq.'s (the "Firm") participation in responding to questions posted herein does not constitute legal advice, nor legal representation of the person or entity posting a question. No Attorney/Client relationship is or shall be construed to be created hereby. The information provided herein by the Firm is general, and requires that the poster obtain specific legal advice from an attorney. The poster shall not rely upon the information provided herein as legal advice nor as the basis for making any decisions of legal consequence.