The Abkhazians went to the polls to elect a new 35-seat legislature, with 108 candidates running for parliament in single-seat constituencies.
NATO Secretary General Jaap de Hoop Scheffer said the North Atlantic alliance fully supported Georgia's territorial integrity and does not recognize the "so-called" parliamentary election in Abkhazia.
Germany, which holds the rotating EU presidency, also condemned the elections, calling on the Georgian and Abkhazian sides to resume negotiations toward a peace settlement.
Georgian President Mikheil Saakashvili also condemned the parliamentary election in the separatist region as illegitimate.
Abkhazia's President Sergei Bagapsh said Saturday the breakaway republic's leadership was taking all measures to ensure law and order in the region, despite Georgia's attempts to thwart the election.
Abkhazia declared independence from Georgia following a bloody conflict in the early 1990s. Russia helped the warring parties reach a ceasefire agreement, and has since led a post-Soviet CIS peacekeeping contingent in the region.
