There are different stories on this; he either strangled it, or shot it with a specially created arrow.
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Hercules killed the Nemean lion as part of his Twelve Labors assigned to him by King Eurystheus. The Nemean lion was a fierce monster terrorizing the region of Nemea, and Hercules was tasked with slaying it as his first labor.
The Nemean Lion was slain by Hercules as the first of his Twelve Labors. The lion's hide was impervious to weapons, so Hercules strangled it with his bare hands and used its own claws to skin it.
Hercules killed the Nemean Lion in Greek mythology, which is represented by the Constellation Leo. The Nemean Lion's hide was impervious to all weapons, so Hercules strangled it with his bare hands.
The Nemean Lion was the animal represented in the constellation that was killed by Hercules. This lion had an impenetrable hide and was terrorizing the region of Nemea, until Hercules strangled it to death as one of his twelve labors.
Hercules strangled the Nemean lion with his bare hands, then used the lion's own claws to cut through its impenetrable skin.