Canada, meanwhile, rose six positions to No. 109.
Belgium reached its highest-ever slot despite not playing in the last month. Past results for Argentina, which beat Belgium in the 2014 World Cup quarter-finals, devalued in a four-year cycle used for FIFA's calculations.
Colombia and Brazil stayed at Nos. 4 and 5. France rose two places to No. 9 in a swap with new No. 11 Switzerland.
Costa Rica rose one to No. 14 and leads CONCACAF nations. The United States climbed one spot to No. 27.
Canada, which did not play in May, was sandwiched between Sudan and Benin. Canada heads into 2018 World Cup qualifying against Dominica this month on a three-game unbeaten streak.
Algeria leads Africa at No. 21. Iran is Asia's best at No. 41.
The July rankings will decide seedings for the World Cup qualifying draw on July 25 in St. Petersburg, Russia.