If no such language exists in your custody agreement or parenting plan, a parent is generally allowed to travel with his/her children for as long as they have custody.
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If the judge specifically includes language that the child cannot be removed from the U.S., you can enroll in the federal government's Prevent Abduction program, which would create a “travel alert” to prevent the child from boarding a flight.
International Travel. Regardless of age, all children need a valid passport for air travel to another country. The application process for children under the age of 16 needs to be completed in person. To fill out this application, at least one parents needs to appear.
Carry documents for traveling with minor children. If you are escorting a minor child without the parents, have a letter from both parents indicating that you have permission to travel with the minor. If the child is accompanied by only one parent, the parent should have a note from the child's other parent.
U.S. Customs and Border Protection recommends that any child under the age of 16 traveling without both legal guardians should have a notarized Child Travel Consent signed by both legal guardians. Having your Child Travel Consent notarized decreases the chance of travel authorities questioning its validity.
A child travel consent form allows a minor to travel alone or with another person or group. It is written by one or both parents and can be used for domestic or international travel.