It is the first time that England have been in the top three since September 2012 and have only ever been in that position for two months since the rankings were introduced in 1992. As England were in 13th place when Gareth Southgate took charge in 2016.
Scotland have moved up four places to rank 45th, closely followed by Northern Ireland, who also rose four spots to rank 47th in the world. Wales remain in 19th, while Republic of Ireland have dropped to 50.
However, the top two positions stay unchanged with Belgium the highest-ranked team in the world and Brazil placing second, ahead of England. World champions France have dropped from third to fourth following mixed results in Qatar 2022 World Cup qualifying this month.
Meanwhile, FIFA are expected to use the current rankings in the upcoming World Cup draw, meaning England would be one of seven nations in pot one, along with tournament hosts Qatar.