The education bureau said the institute, which claimed it taught "traditional virtues", had violated socialist core values.
An online video showed lecturers speaking out against gender equality, while other advice to women included not fighting back when being beaten.
The viral video posted by news website Pear Video shows teachers at the Fushun School of Traditional Culture telling women they should not attempt to have a career but "just stay at the bottom level".
It urges women to unconditionally obey their fathers, husbands and sons.
Other "advice" from the controversial school included never arguing when scolded and never divorcing.
"Whatever your husband asks, your reply should be: 'Yes. Right away'" one lecturer tells her students.
The video showed women doing domestic housework such as cleaning the floor and cleaning toilets using bare hands.
According to the Global Times newspaper, several employees of the institute, which reportedly opened in 2011, protested against its closure, telling the paper the controversial video was a misrepresentation of their work to promote traditional culture.
A post on the Weibo account of the local education bureau in
Authorities also urged a wider check to find similar institutes.
"We must stop any phenomenon that violates the socialist core value," the statement says.