Place mango, honey, and water in a blender or food processor and process until smooth. Taste and if you want a sweeter popsicle, add more honey.
Divide mixture between popsicle molds, filling almost to the top (make sure to leave a little space as popsicles will expand as they freeze). Cover and add popsicle sticks.
Chill in freezer for at least 4 hours, until popsicles are fully frozen.
Gently remove popsicles from mold. If it's difficult to do so, run a little warm water over the molds while you gently jiggle the stick to remove the popsicle.
Store popsicles in freezer, either in plastic wrappers, plastic wrap, or a large Ziplock bag. They should keep for about a month.