Montero is expected to be out for four to six weeks.
"Miguel's surgery this morning went very well," said team physician Michael Lee, who performed the surgery. "He will have a follow-up exam in my office tomorrow."
Montero suffered the injury last Saturday when he said he felt "something pop" in his knee while running out a ground ball.
The following morning Montero was diagnosed with the meniscus tear and a second opinion from Dr. Lewis Yocum on Tuesday confirmed the finding.
Chris Snyder will get the majority of the playing time in Montero's absence with John Hester serving as a backup.