The 22-year-old is hitting .188 with three home runs and 11 RBIs in 30 games since being promoted to the major leagues last month.
Moncada missed two games last weekend with what was described as shin splints. He aggravated the injury Thursday night during a misstep on third base and left the game in the sixth inning.
"No one likes to be on the DL," he said through an interpreter. "You know what? I can't do anything about it. This is the best [move] for me. I have to rest."
To take Moncada's spot on the active roster, Matt Davidson (right wrist contusion) was activated from the 10-day DL. He is batting .238 with 22 homers and 51 RBIs in 88 games.