Antony, who turned 75 yesterday, was accompanied by his wife Elizabeth and son Anil during the trip.
Doctors at Mayo Clinic gave a clean bill of health.
The Chicago chapter of the Indian National Overseas Congress (USA) organised an event over the weekend to celebrate Antony's birthday.
In his address Antony praised the non-resident Indians for their commitment to their ancestral land and encouraged them to continue to build bridges between the US and India.
The meeting was also attended by Ramesh Chennithala, Home Minister of Kerala who also accompanied Antony to the US.
Chennithala assured the audience that a new NRI commission has been created by Kerala with a mandate to make recommendations to resolve various issues that are affecting the NRIs worldwide, a statement said.