The story of Constructor revolves around the citizens of Camatuga, an island nation that requires rebuilding their bridges. The player must navigate 40 levels of puzzles to clear the way for motorcars and eventually trucks. With each level comes a unique environment and new challenges.
The gameplay in Constructor is all about building bridges using different materials such as wood, steel, cables, and concrete. As the player progresses through the levels, the bridge becomes longer and faces more challenging environments, such as City, Canyon, Beach, Mountains, and Hills. The goal is to create a stable structure that can withstand increasing stress points.