Hungary’s Parliament voted on Monday to approve Sweden as a new member of NATO, allowing the Nordic country to clear a final hurdle that had blocked its membership and held up efforts by the military alliance to isolate Russia over its war in Ukraine.

The measure passed after a vote of 188 for and only 6 against in the 199-member Parliament, which is dominated by legislators from the governing Fidesz party of Prime Minister Viktor Orban.

On Friday, after his Swedish counterpart, Ulf Kristersson, made a visit to Budapest, the Hungarian capital, Mr. Orban declared the end of a monthslong spat with Sweden over its membership of NATO.

Hungary had been stalling for 19 months on ratifying Sweden’s admission, a delay that had puzzled and exasperated the United States and other members of the alliance, raising questions about Hungary’s reliability as a member of the alliance.

The parliamentary vote on Monday followed a decision by Sweden to provide Hungary with four Swedish-made Gripen fighter jets to add to the 14 that the Hungarian Air Force already uses. Stockholm also promised that Saab, which manufactures the warplanes, would open an A.I. research center in Hungary.

Hungary, which had repeatedly promised not to be the last holdout, became the final obstacle to Swedish entry into NATO after the Turkish Parliament voted on Jan. 23 to approve membership.