There isn't a single, official name for the moon landing. It's generally referred to as:

* The Apollo 11 mission (as it was the mission that landed the first humans on the moon)

* The first moon landing (to emphasize the historical significance)

* The lunar landing (a more general term)

While there isn't a specific name like "Operation Moonwalk" or something similar, the event itself is widely recognized and remembered without a formal title.