Martin O' Neill's team find themselves in between Finland and Senegal.
Elsewhere England are 13th, with Scotland in 37th, while Northern Ireland are 90th.
Wales have moved up one place to 55th.
Finland and Senegal with Martin O’Neill’s men next facing Serbia in March.
Reigning World and European champions Spain remain in first place.
Germany are in second, with this year's World Cup hosts, Brazil, in 10th.