A quickfire double around the half-hour mark - the first a powerful Emre Can header and then, 79 seconds later, a simple finish from Roberto Firmino following a brilliant break involving Mohamed Salah and Philippe Coutinho - put the Reds in charge at the Amex Stadium.
Another lightning counter early in the second period ended with Firmino making it 3-0, before Glenn Murray quickly pulled one back with a penalty.
But a late brace from Coutinho - the first a clever free-kick sent under the Brighton wall - put the gloss on a victory that extends Liverpool's unbeaten run to eight matches in all competitions.
Take a look at a selection of the best photos from today’s game below…