Marie was diagnosed with a brain tumour in 2002 and took a break from performing on doctors' advice but she made a recovery from the condition in 2009 and returned to performing with Roxette.
Former bandmate Gessle released a statement remembering Fredriksson as an "outstanding musician, a master of the voice, an awesome performer".
Her band mate, Per Gessle paid tribute to Fredricksson saying, "I am honoured to have met your talent + generosity".
"Thank you, Marie, thanks for everything".
The 61-year-old was a successful solo artist in her native Sweden before joining with Per Gessle to form Roxette, the act that went on to achieve global fame.
In 2016, she announced that she would no longer touring, writing on Facebook: 'It's been an wonderful 30 years! "Thanks for painting my black and white songs in the most lovely colours", she said in the statement.
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"Marie leaves us a grand musical legacy".
Per also added alongside an image of Marie: "All my love goes to you+your family". "Things will never be the same".
In 2005, she said: 'It's been three very hard years, I'm healthy. "Sadly, now my touring days are over and I want to take this opportunity to thank our wonderful fans that has followed us on our long and winding journey".
Fredriksson is survived by her husband Mikael Bolyos and two children.
According to the family, Fredriksson will be buried in silence with only the closest family present.