Pour the black cherry juice, purple grape juice, and lemon juice into a large pitcher. Stir until the juices are fully combined.

Add the ice cubes to the pitcher and stir gently to chill the mixture.

Slowly pour in the chilled lemon-lime soda. Stir once or twice to distribute the bubbles without flattening the carbonation.

Ladle the punch into cups and drop one or two fresh black cherries into each serving.