Roy Hodgson's side drew 1-1 with the Republic of Ireland last week before securing an entertaining 2-2 draw in Brazil on Sunday but that was not enough to prevent them dropping in the standings.
Netherlands climbed four places into fifth position, despite not playing in May.
Spain continue to hold a comfortable lead over Germany, Argentina and Croatia at the top of the tree, while Portugal and Colombia slipped a pace each to tuck in behind the Netherlands.
Italy retain eighth position just ahead of England, with Ecuador completing the top 10.
Belgium and Bosnia-Herzegovina have reached their highest-ever positions since the rankings were introduced, as they secured 12th and 15th positions, respectively.
Marc Wilmots' side benefited from a 4-2 friendly victory in the USA, while Bosnia-Herzegovina have now gone unbeaten for over a year in a run that comprises eight matches without defeat.
Two other teams have also achieved their highest-ever position in the latest rankings, with Mali up three places to 23rd and Albania up five positions to 38th.
Meanwhile, Brazil, who have only been involved in friendlies as they prepare to host the 2014 World Cup, dropped to 22nd place in the standings as they continue to be affected by the fact that such games score less than competitive matches in FIFA's calculations.
The upcoming FIFA Confederations Cup and the latest round of qualifiers for the next World Cup will offer Brazil the opportunity to advance in the next edition of the FIFA Rankings though.