Falk previously served as CFO at Swedish pharmacy chain Kronans Apotek.
“As Mr Green acquires more gaming companies and grows geographically, our CFO will hold an increasingly central position,” Mr Green chief executive officer Mikael Pawlo said.
“We are confident that Simon Falk will play a key role in our continued rapid expansion.”
In addition to his role at Kronans Apotek, Falk also served as chief financial officer of Swedish internet service provider Bredbandsbolaget and has held various other roles at companies within the Tele2 Group.
Speaking about his appointment, Falk said: “Being involved in development of the Mr Green Group will be very exciting. I like consumer companies with a technology focus that operate internationally.”