Can u apply for citizenship if you owe back child support?

In addition to residency requirements, an applicant for citizenship must also demonstrate "good moral" character. While this particular term is not defined in the statutes, it generally means behavior measuring up to the standards of the average member in the community. Therefore, while he can apply for citizenship, it is highly unlikely that your ex-husband will be getting citizenship anytime soon if he is derelict in his duties to pay court ordered child support.