Matches were scheduled to be played at the stadium of the team named first on the date specified for each round, which was always a Saturday.
If scores were level after 90 minutes had been played, a replay would take place at the stadium of the second-named team later the same week.
Those appearing in the competition proper for the first time were Canterbury City, Bideford and Welton Rovers.
Of the others, Spalding United had last featured at this stage in 1957-58, Kidderminster Harriers in 1952-53, Hayes and South Liverpool in 1946-47, and Annfield Plain in 1928-29.
The final two non-league clubs in this round, Crook Town and Enfield were given byes as the champions and runners-up from the previous season's FA Amateur Cup.
Peterborough United reached this stage for the first time in only their fifth season as a Football League club.
The 1965 FA Cup final was contested by Liverpool and Leeds United at Wembley on Saturday 1 May 1965.