Rocky Point is a hamlet and census-designated place in the town of Brookhaven, New York, United States. As of the 2010 United States census, the CDP population was 14,014. Rocky Point is home to the site where American radio company RCA once operated a large transmitting and transmitter research facility, known as Radio Central. RCA bega…Rocky Point is a hamlet and census-designated place in the town of Brookhaven, New York, United States. As of the 2010 United States census, the CDP population was 14,014. Rocky Point is home to the site where American radio company RCA once operated a large transmitting and transmitter research facility, known as Radio Central. RCA began to transmit transatlantic radio messages from Radio Central over longwave after its opening on November 5, 1921.