Space Leaper: Cocoon is set in the year 3230, after a cosmic explosion led to the downfall of society and strange shockwaves threatened the existence of all survivors. The survivors have gathered aboard the "[Cocoon]", a technologically advanced starship, and travel shattered space in search of cosmic shards to put the universe back together. Players enter the game in the year 2022, using the smartphone app to overcome the laws of space and time and connect to the "[Cocoon]" terminal system in the distant future. But beware: the time-spanning connection overloads the system! Survival on the [Cocoon] is now in the hands of the player.

Players will travel the galaxy taking control of the Leapers, a group of colorful, anthropomorphic creatures created out of cosmic rays who serve the Cocoon organization and their mission. The task of the players is to assemble a dynamic team, explore the new worlds and take part in challenging missions as the Leapers go into battle in auto-battler gameplay style. With a variety of unique leapers, players strengthen their own team and develop new strategies. They can expand their collection as additional Leapers are released.