In order for dad to legally establish his rights he would have to file a Petition for Paternity. But, the judge may frown upon you not providing visitations should he file for visitation.
Please be advised this is for informational purposes only based on the information you provided and should not be construed as all inclusive and/or final. You should contact an attorney to discuss this matter further.
Is there an existing order? Is he paying child support? In any event, unless contact is harmful, you should allow time sharing and contact with their father as it may hurt you in the long run. Contact a local family law attorney
Family Law Attorney
If you find an answer helpful or that it is the "best answer" please mark it. All attorneys answering questions donate their time and expertise without compensation.
Please note that these comments are not intended as legal advice and are for informational purposes only. This response is not intended to create any attorney-client relationship and is only based on the limited facts given. The response might change should additional facts be learned and should not be relied on as legal advice. It is recommended that you consult with an attorney who can properly assess the situation, as well as all pertinent facts, prior to taking any action based on the foregoing statements.
Sign up to receive a 5-part series of useful information and advice about child custody law.