World champions Argentina remain at the top of the FIFA rankings, followed by World Cup runners-up France.
England are at No. 3, ahead of Belgium in fourth spot.
Poland this month drew 1-1 with the Czech Republic in their last Euro 2024 qualifier in Warsaw, missing out on a chance to qualify directly for the European tournament next year.
Poland won 11 points from eight matches in their qualifying Group E, which also included Albania, Moldova and the Faroe Islands.
The Poles, coached by Michał Probierz, will face Estonia at home on March 21 in the playoffs for a place at the Euro 2024 championships in Germany.
The Euro 2024 tournament will be held from June 14 to July 14 in 10 cities in Germany, with the final played at Berlin's Olympiastadion.
Poland reached the last 16 of last year's World Cup in Qatar before being eliminated by eventual runners-up France.
Poland's lowest place in the world rankings was 78th, in 2013.
(gs)
Source: IAR, PAP, fifa.com