The bridge will connect the new national stadium, which opens in a year's time, to the town centre.
But a three-strong panel rejected overseas pressure in favour of the famous names on the list.
Online voting began earlier this month, exactly a year before the stadium is due to open for the 2006 FA Cup Final.
A notable name missing is 1966 World Cup captain Bobby Moore. There is already a Bobby Moore bridge near Wembley Park Tube station - named in September 1993 - and further tributes to the England legend are planned, the agency said.