Ireland have moved up two places to 29th in the latest FIFA rankings, while World Cup winners France top the list.
Martin O'Neill's side were beaten by France in a friendly last May before recording a 2-1 win over the United States of America.
Their next game is away to Wales in the UEFA Nations League on 6 September.
The world champions have taken over top spot from Germany, who have crashed 14 places after flopping in Russia when they failed to make the knockout stages.
Northern Ireland are 27th under the new rankings system, while England's World Cup run has seen them climb to sixth place.
Gareth Southgate's side jumped six places after reaching the semi-finals of the World Cup last month.
England beat Colombia and Sweden in the knockout stages in Russia before losing to Croatia in the semi-finals.
Wales are 19th and Scotland 40th.
FIFA are using a new formula to determine the rankings.
They say it "relies on adding/subtracting points won or lost for a game to/from the previous point totals rather than averaging game points over a given time period as in the previous version of the Ranking.
"The changes, of which there are several, include the fact that inactive teams now preserve their point totals, with no devaluation of older games.
"Points are dropped, however, from losing or drawing against weaker opposition, with the only exception to this rule matches in knockout rounds of major competitions such as the World Cup."