The current Rector of the Octagon is the Revd Christopher Hancock, MA FCA.

The file below is a list of former vicars of this church. 

One particularly interesting former incumbent was the Revd Philip Harwood Francis M.A. Cantab (1901-1987), who was vicar from 1957 to 1977 and is described on his memorial in the church as an “athlete, teacher, mathematician, author, eccentric and master of the short sermon”. His publications include:

'The Principles of Field Athletic Sports: Putting the Shot, Throwing the Discus, Hammer, and Weight', Brakell, 1945

'A Study of Targets in Games (Tournaments, Field Athletic Sports, Baseball, Cricket, Football, Hockey, Golf, Lawn Tennis, Bowls, etc.), Mitre Press, 1950

'Mechanical Biology. Announcing the Discovery of Twelve Biological Rules or Laws', Mitre Press, 1955

'The Origins and Developments of Firearms and Gunpowder: From the Fire Drill, Flint and Pyrites, Fire Piston, Etc', Broadacre Books, 1961

'The Temperate Sun' - pamphlet, A.E. Norris & Sons, Ltd, Emsworth, Hants., 1964

'Early British History, 1,450 B.C. - 600 A.D.', A.E. Norris & Sons, Ltd, Emsworth, Hants., 1968

'Mathematics of Infinity: With Applications to Astronomical and Space Problems', self-published, Stoughton Vicarage, 1968

'The Balbis: A Neglected Mathematical Figure', Mitre Press, 1971

'The Straight Line and the Conic Sections', self-published, 1975

'Cartesian and Argand Values', Oleander Press, Cambridge, 1978