The figures, by the government agency Statistika Central Byran, or Statistics Sweden, show there are 4,521 married female couples, compared to 3,646 married male couples.
"It's quite simply more common that female couples have children. Many get married when they have a child to protect the child legally," said Ulrika Westerlund, president of the organization Swedish Federation for Lesbian, Gay, Bisexual and Transgender Rights.
Same-sex marriage has been legal in Sweden since 2009. Couples who do not officially marry live in registered partnerships, the Swedish news website TheLocal said.