A top United Nations official, however, warns of a grave human rights crisis in the country where girls above the age of 12 are denied an education.
The Taliban seized power on August 15, 2021, as the US and other NATO troops withdrew following a costly two-decade war.
The US withdrawal led to chaos at Kabul airport as crowds of people tried to flee the country in desperation.
Soon after taking power, the Taliban administration imposed a ban on girls' education beyond the sixth grade and later also banned higher education for women, despite having pledged before the takeover that women would be allowed access to education, employment and public participation.
Women have also been banned from public spaces such as gyms and parks, from taking part in sports and travelling to distant locations without a male guardian.
At the Loya Jirga, high-ranking officials were joined by some foreign representatives and thousands of ordinary citizens for "victory day" speeches on Saturday marking what they said was Afghanistan's liberation from American forces.
The Taliban government remains isolated internationally, with Russia being the only country to have recognised it formally.
"We pray to Almighty God to forever protect our homeland from occupation, aggression, wars, and insecurity, and to enable our people to enjoy peace, tranquillity, and prosperity under the auspices of the Sharia-based government," the Taliban government's deputy spokesman, Hamdullah Fitrat, said during the ceremony.
There were no women present.
Celebrations were also held in provinces across Afghanistan, where Taliban flags and posters emblazoned with slogans in praise of the Taliban's return to power were displayed along major roads and marketplaces.
In a video message, Richard Bennett, the UN special rapporteur on the human rights situation in Afghanistan, said the country was undergoing a deep human rights crisis.
"While the era of war has ended, it's questionable whether there's real peace, and the human rights situation has steadily deteriorated, most dramatically for women and girls," Bennett said.
"Across Afghanistan we continue to document arbitrary arrests, torture and ill treatment, extrajudicial killings, corporal punishment, enforced disappearances, restrictions on freedom of expression, attacks on journalists and human rights defenders, persecution of ethnic and religious minorities, discrimination against LGBT+ persons, and the reduction of civic space."
In an interview with The Associated Press this week, information ministry official Molvi Hayatullah Mahajar Farahi said despite "challenges and difficulties" the administration had delivered security, infrastructure and created jobs.
Farahi, when asked, did not address the issue of the education of girls and women but said "the level of investment made in universities surpasses anything seen in the past".
The UN agency on education and culture, UNESCO, estimates that some 2.4 million girls have been excluded from secondary education.
The world body's agency on women's rights, UN Women, said this week that women and girls faced the harshest restriction in the world and that the bans were damaging Afghanistan's future, with the lack of teachers, doctors, nurses and midwives threatening the country's social and economic foundations.
