Levoranta, who has served as Rovio's legal director and head of European sales, will on January 1 replace Pekka Rantala, who will step down after just one year.
Under Rantala, the company underwent a major restructuring and deep job cuts. In 2014, the company fired one sixth of its employees and its overall sales fell by nine per cent.
Angry Birds was a worldwide success after its release in 2009, becoming one of the most downloaded mobile apps of all time.
Tero Kuittinen, an analyst at Cameo Capital, told AFP in November that Rovio had been late in adapting to a major shift that took place in the mobile game industry around 2012, when many companies began to rely on 'micro payments' or small purchases within the game as their main source of revenue.
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Most games are now initially free and try to hook their players into making small payments within the game after they have downloaded it.
"The logic of these in-app purchases was missing from the Angry Birds," Kuittinen said, adding Rovio had had difficulties in adding the feature to the game later on.