Add lemon juice, ginger, and mint, making sure they have been well pressed to release their juices.
Strain the lemonade.
Serve over ice, and garnish with fresh mint.
Notes
Don't worry about picking out seeds as you squeeze the lemon juice. Your lemonade will eventually be strained anyway.
If you'd rather skip the stirring of honey into water and the straining of your lemonade, use about ½ as much ginger, and make this in a blender. If you choose to go this route, you will need to pick out the seeds as you squeeze the lemons.