Marta, often dubbed the female Pele, has spent most of her professional career playing in the Swedish league. The 28-year-old has previously played for Umeå IK and most recently for Tyresö FF.
"We are delighted to sign Marta who is one of the best players in the world," FC Rosengård sport manager Erlin Nilsson told The Local after unveiling the South American forward to the media.
FC Rosengård, formerly known as LdB FC Malmö, scooped the Swedish title last season and have been keen on landing the Brazilian for some time.
Marta was out of contract with Tyresö FF and joined on a free transfer. No details on her salary have been revealed but Nilsson conceded to The Local that it fits into the club's existing budget.
"It was a very straightforward process as she wanted to come to the club. We came to an agreement quite quickly and it is fantastic news as she is an incredible player who will be a good role model for our younger players," said Nilsson.
The Brazilian scored two spectacular goals (video below) in the Women's Champions League final in May but it wasn't enough to prevent Tyresö FF from losing 4-3 to Wolsfburg in the final.
She told the press that she wanted to make "history" with FC Rosengård and help the club achieve success in Europe.
The club believe her signing could have a knock-on effect for the women's game in southern Sweden.
"I think the fans will be happy and hopefully it will generate more interest in the women's game. It can be difficult to get people to sit up and take notice of women's football but with Marta we'd like to think more people will come to the games" said Nilsson.
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In a 2009 interview Marta said she felt she had the skills to play in the men's game. She was voted FIFA World Player of the Year five times in a row between 2006 - 2010.
Marta has signed a contract for the 2014 season with an option for another year.