Giovanni Trapattoni's Boys in Green have kept their place at 26 in the ranking table, while Michael O'Neill's Northern Ireland have climbed one spot to 101
Giovanni Trapattoni's team had previously fallen eight places and out of the top 20 after three defeats at Euro 2012, but the Boys in Green have managed to hold on to their position in the updated table.
Spain hold on to top spot, with Germany also maintaining their position at number two in the ranking, but Roy Hodgson's England, who went out of Euro 2012 at the quarter finals, have displaced Uruguay at number three, the highest ever position attained by the Three Lions.
Northern Ireland, meanwhile, have risen one place in the table, to 101, despite being on the end of a heavy 6-0 defeat to the Netherlands.
The Republic of Ireland will play Serbia in a friendly in Belgrade on August 15 before travelling to Kazakhstan to kick off their qualification campaign for the 2014 World Cup on September 7.