"No third country has a veto over NATO enlargement," Secretary-General Anders Fogh Rasmussen told a news conference on the second day of a summit of the US-led defense pact, adding: "NATO's door remains open. Each country will be judged on its merits."
The 28-member alliance agreed on a package of measures to boost Georgia's defense capabilities and advance the former Soviet republic's preparations to join, he was quoted by Reuters as saying.
Russia and Georgia fought a brief war in 2008 after NATO agreed in principle that it and Ukraine would one day become members.
Rasmussen also said NATO stood ready, if requested, to help Iraq counter militants from the so-called Islamic State in Iraq and the Levant (ISIL) who have captured swathes of its territory and would cooperate on exchanging information on foreign fighters returning from the Middle East - a potential source of terrorism in Western countries.