why my H4 visa denial without any reasons?

It is difficult to say why you had an H-4 visa denial, especially if there is no reason given for such. This is a complaint that many immigration lawyers have with consular decisions on nonimmigrant visas – lack of explanation. I do not believe that not writing an SSN on the DS-160 form would be a cause of denial. If you did not disclose that you were in the U. S. previously on a J-1, that could be seen as dishonest. Work in the Lithuanian military may be a cause of concern if it involved specialized skills or training in firearms, explosives, nuclear, biological or chemical experience. There is also a chance that the consular officer was not entirely convinced of the bona fides of the marriage taking into account your husband returning to the U. S. so quickly after the date of your marriage or the impression that you gave at the interview. But again, it is difficult to say why, and if you wish to try to obtain more information, you can ask for reconsideration or file another non-immigrant visa application at the consulate. 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.