Suu Kyi said she was not backing down on the issue, however, and that her party would continue to seek constitutional change through legislative actions. The oath is part of the constitution, and her party also seeks to change other statutes it considers undemocratic.
"Politics is an issue of give and take," she told reporters in the main city, Yangon, on Monday. "We are not giving up, we are just yielding to the aspirations of the people."
Suu Kyi and her National League for Democracy object to phrasing in the oath that obligates them to "safeguard the constitution," which was drafted under military rule and ensures the army inordinate power.
The party wants "safeguard" replaced with "respect," a change made in other laws including electoral legislation that enabled Suu Kyi's party to officially enter politics for the first time in decades.
But their failure to take up their seats had irked some of Suu Kyi's backers, who are eager to see the person who has stood up to Myanmar's military for 23 years finally take her place in the legislature.
The apparent resolution of the deadlock came as U.N. Secretary-General Ban Ki-moon was visiting Myanmar to encourage democratization and reform.
Ban told reporters he respected Suu Kyi's decision.
"I'm sure that this will contribute very positively," he said. "This evening I had a brief exchange of views on that matter with President Thein Sein, and he also believes that this will contribute harmonious working relations between President Thein Sein and Aung San Suu Kyi."
In an address to the country's parliament on Monday, Ban called for the international community to lift sanctions it imposed on Myanmar in response to the previous military junta's repression and to increase aid for the country's development.
"The best way for the international community to support reform is to invest in it," he said.
His visit is the latest in a series by foreign dignitaries since Thein Sein's reform campaign gathered steam by winning Suu Kyi's endorsement.
Thein Sein came to power a year ago after a general election that left the military in firm control but signaled a desire for political reconciliation.
The NLD participated in elections on April 1 for the first time since 1990, when it won a landslide victory that was promptly annulled by the army.
Suu Kyi said ethnic lawmakers in parliament had appealed to her party to resolve the issue from within the assembly, which is overwhelmingly dominated by the pro-military ruling party and military appointees.
"We are fulfilling the wishes of the people, because the people want the NLD to enter parliament," Suu Kyi said.