Assuming you qualify in every other way AND assuming you have sufficient and satisfactory proof that you support your children (and this just depends on the specific circumstances of your case), then it should not stop you from qualifying for citizenship. The only time child support becomes an issue is with regards to the question about whether you have ever failed to support your dependents (because failure to do so reflects poorly on moral character). If there is court ordered child support and the parent is current on the payments, then proof of that can support a "no" answer to that question. If you do not have court ordered child support, then you would simply want to be prepared for the officer maybe noticing you have children and asking about you supporting them. Be prepared by bringing a lot of proof with you of your ongoing, CONSISTENT support. If you are uncertain about whether your proof is sufficient, the only way to be certain is to consult with an immigration attorney to get advice you can rely on. Do not presume that bringing some receipts here and there will satisfy this. If you have ANY doubts, please consult with an immigration attorney before you apply for any benefit with USCIS/Immigration because if you do it on your own and end up with a problem, it is very expensive and difficult to fix a case that has gone bad. But if you get legal advice before you apply, then you have a chance to prepare a good case (with the assistance of an attorney) from the beginning and to know what to expect and be prepared.