A lightning channel is an on-chain utxo that you and I both control.
Off chain, we keep track of how much Bitcoin each of us owns in that channel, and if either of us want to take our side back on chain, we can close the channel into two separate utxos that have the final balance each of us had.
The lightning network forms by many people having channels in a chain, where I have a channel with you, and you have a channel with someone else. I can send Bitcoin to that someone else with you as an intermediary, and you can collect a fee for doing so.