Biscayne Point is a neighborhood of North Beach in the city of Miami Beach, Florida. It is located just west of the main island that the city occupies, in the area of the city referred to as North Beach. It is actually on three islands, just north of Normandy Shores. Bridges connect the three islands which are accessible from 77th Street and from 85th Street b…Biscayne Point is a neighborhood of North Beach in the city of Miami Beach, Florida. It is located just west of the main island that the city occupies, in the area of the city referred to as North Beach. It is actually on three islands, just north of Normandy Shores. Bridges connect the three islands which are accessible from 77th Street and from 85th Street by vehicles and from a pedestrian bridge at 80th Street.